60, 72, 84, 90 and 96 each have twelve factors.
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The three greatest whole numbers less than 200 that each have an odd number of factors are 144, 169 and 196.
What is the greatest palindromic number less than 999?
There are 12 numbers less than 150 which have an odd number of factors: 1,4,9,16,25,36,49,64,81,100,121,144.
180 has 18 factors.
The greatest number is 123 because 300-176 is 124 but since it says less than, it is going to be 123.