Number Gossip
(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)
Unique Properties of 105
- 105 is the smallest order of a cyclotomic polynomial containing a coefficient that differs from 0, 1, or -1
- 105 is the smallest odd number such that its Euler totient function is smaller than the Euler totient function of its successor
- 105 is the smallest integer whose English name includes all five vowels at least once
- 105 is the smallest number n such that 2n contains a pandigital substring (1052 = 40(5648192073)03340847894502572032)