# 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 69

- 69 is the smallest strobogrammatic number which is not a palindrome
- 69 is the largest number out of two (the other being 63) such that the common alphabetical value of its Roman representation is equal to itself (LXIX - 12+24+9+24=69)
- 100
^{69}- 69 is prime: note that 69 is the smallest number with this property - 69 has the interesting property of being the only number whose square and cube together contain each of the ten digits once: 69
^{2}= 4761 and 69^{3}= 328509 - 69 is the largest number whose factorial is less than 10^100 (69! ≈ 1.71x10^98)
- 69 is the smallest number besides 1 whose sum of divisors equals its reversal (96 = 1 + 3 + 23 + 69)
- 69 is the smallest number whose square (4761) is the concatenation of two multi-digit primes