We counted to 99 in ASL, let's keep going!
To do the sign for 100, make the hand sign for 1, holding your pointer finger up.
Then make he sign for the letter C.
For 101 through 109, just do the sign for 100, and then the sign for the number 1-9.
Here is a helpful video to show how these signs are done.
Number 100 1000 1000000 | ASL - American Sign Language - ASL THAT

(from: wikipedia - american sign language)
Italian: cento, centodue, centotre, centoquattro, centocinque, centosei, centosette, sentotto, sentonove
German: einhundert, einhunderteins, einhundertzwei, einhundertdrei, einhundertvier, einhundertfünf, einhundertsechs, einhundertsieben, einhundertacht, einhundertneun
Spanish: ciento, ciento uno, ciento dos, ciento tres, ciento cuatro, ciento cinco, ciento seis, ciento siete, ciento ocho, ciento nueve
French: cent, cent, cent deux, cent trois, cent quatre, cent cinq, cent six, cent sept, cent huit