117679104 has 99 divisors (see below), whose sum is σ = 342829513. Its totient is φ = 38879232.

The previous prime is 117679097. The next prime is 117679127. The reversal of 117679104 is 401976711.

The square root of 117679104 is 10848.

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

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 115605504 = 1440^2 + 10752^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1041352 + ... + 1041464.

Almost surely, 2^117679104 is an apocalyptic number.

117679104 is the 10848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117679104

117679104 is an abundant number, since it is smaller than the sum of its proper divisors (225150409).

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

117679104 is an equidigital number, since it uses as much as digits as its factorization.

117679104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The cubic root of 117679104 is about 490.0417901329.

Multiplying 117679104 by its sum of digits (36), we get a square (4236447744 = 65088²).

117679104 divided by its sum of digits (36) gives a square (3268864 = 1808²).

The spelling of 117679104 in words is "one hundred seventeen million, six hundred seventy-nine thousand, one hundred four".