Question 32
For every natural number $n$ with 3 decimal digits (so its first digit is nonzero), let $n_0$ be obtained by deleting any zero digits of $n$. For example, if $n=205$, then $n_0=25$.
Determine the number of three-digit integers $n$ for which $n_0$ is a divisor of $n$ different from $n$.
Determine the number of three-digit integers $n$ for which $n_0$ is a divisor of $n$ different from $n$.