If you are looking for advantages that aren’t social. you are basically limited to physiology, which is all pretty obvious (more muscle, less getting-pregnant) and maybe some cognitive differences are visible on a population level but probably not on an individual level.
The question I’d suggest is asking why it’s so important right now for you to make this particular division. There are a million ways to break humans into groups, and gender is just one of them. Outside of the many social implications, I don’t think that it is really a huge deal. If you were stranded alone on a desert island, would you want to be a man or a woman? Outside of a bit more muscle and not having periods to deal with, I’d guess it doesn’t matter much.