AMC 12A 2013 Problem 10

Let S be the set of positive integers n for which \dfrac{1}{n} has the repeating decimal representation 0 . \overline{a b}=0 . a b a b a b \ldots, with a and b different digits. What is the sum of the elements of S ?

Answer Choices
A. 11
B. 44
C. 110
D. 143
E. 155