117107684100 has 729 divisors, whose sum is σ = 435742021533. Its totient is φ = 26281728000.

The previous prime is 117107684047. The next prime is 117107684101. The reversal of 117107684100 is 1486701711.

The square root of 117107684100 is 342210.

It is a perfect power (a square), and thus also a powerful number.

117107684100 is a `hidden beast` number, since 1 + 171 + 0 + 76 + 8 + 410 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 104459532804 + 12648151296 = 323202^2 + 112464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117107684101) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1919798070 + ... + 1919798130.

Almost surely, 2^117107684100 is an apocalyptic number.

117107684100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117107684100 is the 342210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117107684100

117107684100 is an abundant number, since it is smaller than the sum of its proper divisors (318634337433).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117107684100 is a wasteful number, since it uses less digits than its factorization.

117107684100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

Multiplying 117107684100 by its sum of digits (36), we get a square (4215876627600 = 2053260²).

117107684100 divided by its sum of digits (36) gives a square (3252991225 = 57035²).

The spelling of 117107684100 in words is "one hundred seventeen billion, one hundred seven million, six hundred eighty-four thousand, one hundred".