10.2 In a company of $n$ people, 100000 ruble coins need to be distributed equally. How many different values of $n$ exist for which such a distribution is possible?
Answer: 36. Solution: Let's calculate the number of natural divisors of the number $100000=2^{5} \cdot 5^{5}$. Any such divisor has the form $2^{i} \cdot 5^{j}$, where the integers $i, j$ can take six values: from 0 to 5. Then the number of different ordered pairs ( $i ; j$ ) will be $6 \cdot 6=36$.