AMC 10A 2016 Problem 22

For some positive integer n, the number 110 n^{3} has 110 positive integer divisors, including 1 and the number 110 n^{3}. How many positive integer divisors does the number 81 n^{4} have?

Answer Choices
A. 110
B. 191
C. 261
D. 325
E. 425