MOO and MOC orders with odd lot

The strategy I build and test uses MOO orders.
There are many reasons why I need exactly that order to make my strategy robust.

My broker is "Interactive Brokers".

Recently I've found on their site something about MOO and MOC order with odd lot.

Odd Lot Orders
Opening Orders

An odd lot order to OPEN a new position may only be sent to NYSE or Amex as part of a basket order or as a market-on-close (MOC) order. IB prohibits odd-lot opening orders from being routed to NYSE Arca.

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I've called to support. And I have long explanation why NYSE cannot fill odd lot and my order will be canceled - "NYSE does not have an odd lot order book", "if and only if there will be odd lot to sell I can buy", etc...

I've contacted MBTrading with the same question: "If there is any restriction on MOC, MOO orders". They told me - "none that I'm aware of".

After that I've asked IB again direct question : "How can I buy 50 shares of SPY with MOO order"
And got an answer - "SPY has ARCA has the primary, not the NYSE. ARCA accepts odd lots".

And something that I totally don't understand (my conversation with IB):

IB: ARCA does accept odd lots, so if ARCA was the primary the on the open order would be routed through ARCA and you could receive a fill there
Me: ARCA and NYSE Arca are not the same ?
Me: Because on your site : IB prohibits odd-lot opening orders from being routed to NYSE Arca.
IB: They are the same in that they are owned by each other, but for execution purposes they are different. You can see the primary for a stock when you type the symbol into the TWS and press enter and it will show you the primary there.

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What the hell is ARCA and NYSE Arca ????
Can somebody elaborate on the rules of MOO with odd lots. Maybe I need to change a broker?

P.S. Why odd lots are so important to my trading and why I cannot work with round lots.
For example I buy round lot 100 shares for 112$ each.
I've got profit of 2.5$ per share. My next deal must be 102 shares - not 100, not 200 but exactly 102.

albertly said:

P.S. Why odd lots are so important to my trading and why I cannot work with round lots.
For example I buy round lot 100 shares for 112$ each.
I've got profit of 2.5$ per share. My next deal must be 102 shares - not 100, not 200 but exactly 102.

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I think you are mistaken about the definition of an ‘odd’ lot. In trading, it doesn’t mean not evenly divisible by 2, it means a number that is less than the standard trading unit for a security which is usually 100 shares. In that instance, any trading unit less than 100 shares are referred to as an odd lot.

“NYSE cannot fill odd lot and my order will be cancelled - "NYSE does not have an odd lot order book", "if and only if there will be odd lot to sell I can buy"

This makes sense to me. If the majority of orders are 100 shares or more then it’s unlikely you will be filled if your order is for 70 shares unless there is a matching order for that quantity on the opposite side. I could be wrong but that is the way I understand it. I don't think it is a multiple, it is a minimum.

Technically speaking there are 3 types of lots
1. Round lot
Any number of shares that is a multiple of 100 is a round lot (i.e. 100, 600, 1,600, etc)
2. Odd lot
An odd lot is a number of shares less than 100 (1-99)
3. Mixed lot
An order for a number of shares greater than 100, but not a multiple of 100 (i.e. 142, 373, 1,948, etc) is a "Mixed Lot" (AKA PRL, or partial round lot, order)

102 shares is mixed lot, of course.
According to an explanation of IB, 100 shares order would be filled and 2 shares would be canceled.

But it does not help me.

Very interesting if somebody trade odd/mixed lot with MOO/MOC orders?

BTW, in usual market hours you can give odd lots without any problems.
I think, even if you give order with round lot, but without "all or none" your order can be filled partially and not round because of odd lots.