113939102160 has 240 divisors, whose sum is σ = 412400771328. Its totient is φ = 28024704000.

The previous prime is 113939102129. The next prime is 113939102219. The reversal of 113939102160 is 61201939311.

113939102160 is a `hidden beast` number, since 1 + 1 + 393 + 9 + 102 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×113939102160³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14326185 + ... + 14334135.

Almost surely, 2^113939102160 is an apocalyptic number.

113939102160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113939102160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206200385664).

113939102160 is an abundant number, since it is smaller than the sum of its proper divisors (298461669168).

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

113939102160 is a wasteful number, since it uses less digits than its factorization.

113939102160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9514 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 113939102160 in words is "one hundred thirteen billion, nine hundred thirty-nine million, one hundred two thousand, one hundred sixty".