113105160 has 160 divisors (see below), whose sum is σ = 434554560. Its totient is φ = 25847424.

The previous prime is 113105159. The next prime is 113105177. The reversal of 113105160 is 61501311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20187 + ... + 25173.

It is an arithmetic number, because the mean of its divisors is an integer number (2715966).

Almost surely, 2^113105160 is an apocalyptic number.

113105160 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 113105160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217277280).

113105160 is an abundant number, since it is smaller than the sum of its proper divisors (321449400).

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

113105160 is a wasteful number, since it uses less digits than its factorization.

113105160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 113105160 is about 10635.0909728126. The cubic root of 113105160 is about 483.6087382741.

Adding to 113105160 its reverse (61501311), we get a palindrome (174606471).

The spelling of 113105160 in words is "one hundred thirteen million, one hundred five thousand, one hundred sixty".