Do angels have reproductive organs (read the whole question por favor)?

It is thought that fallen angels mated with women and produced giants according to Genesis 6. That must mean that angels have some form of reproductive organs, right? If so, can they mate with each other and produce offspring? If not, why did God give them reproductive organs?
Update: "Angels are male and they are not gay"....

So they must have a penis to be male, eh? Why do they have this penis?
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