Let `n=180`. Find the number of positive integral divisors of `n^2`, which do not divide n

The number of positive integral solutions of x+y+z=n,n in N,n>=3 is

The number of positive integral solutions of x+y+z=n,n in N, n >= 3 is

Find the number of positive integers n such that 105 is a divisor of n^2+n+1.

Find the number of positive integers n such that 105 is a divisor of n^(2)+n+1

For a positive integer n, define d(n) - the number of positive divisors of n. What is the value of d(d(d(12))) ?