117102624 has 144 divisors (see below), whose sum is σ = 337962240. Its totient is φ = 35458560.

The previous prime is 117102617. The next prime is 117102641. The reversal of 117102624 is 426201711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 117102594 and 117102603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074282 + ... + 1074390.

It is an arithmetic number, because the mean of its divisors is an integer number (2346960).

Almost surely, 2^117102624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117102624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168981120).

117102624 is an abundant number, since it is smaller than the sum of its proper divisors (220859616).

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

117102624 is a wasteful number, since it uses less digits than its factorization.

117102624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 117102624 is about 10821.3965826967. The cubic root of 117102624 is about 489.2402832142.

The spelling of 117102624 in words is "one hundred seventeen million, one hundred two thousand, six hundred twenty-four".