I love learning about how other cultures count.
The Chinese have their own single hand counting system. It's pretty much the same for the first 5 as most of the USofA counts but then they have other signs for 6-10.
You can count up to 144 if you count, using your thumb, each bone in your fingers once and keep track on the other hand's finger bones. Bonus points because you get to learn your 12 times tables.
In some cultures they use base 27 because they count starting with the fingers and then up the arm, around the head and shoulders, back down the other shoulder and arm and then the other hand's fingers. In this type of system you just use the word for the body part for the number since they're usually the same.