the answer would seem to be ten.
333 3 11 111
There are none but the smallest 3 digit number is 161
36
The common factors of 609 and 957 are 1, 3, 29 and 87. No 3-digit numbers.
10080
25
101 is the first three-digit prime number.
10
625 has five factors.
36 has nine factors.
64