Yes, it would be 10,000 nF. None of the American distributers I'm familiar with use nF. Mouse, Digikey, Allied will all use uF for their film caps in the online catalogs.
You want a capacitor rated for AC not DC. Also 8.2 works better than 10uF
I suggest you use these.
https://www.digikey.com/product-deta...183-ND/5876926