Does CCNY have official student housing?

I am currently an out-of-state prospective student looking @ CCNY. I don’t have any relatives or friends living in the NYC area, so I don’t have the option of staying with anyone. I know that City College has The Towers complex, but I am not sure if it’s an official dorm subsidized by the University, or if it’s a privately owned residence hall? Either way, how expensive is it compared to other Universities?