113344160 has 48 divisors (see below), whose sum is σ = 268835112. Its totient is φ = 45158400.

The previous prime is 113344159. The next prime is 113344163. The reversal of 113344160 is 61443311.

It can be written as a sum of positive squares in 4 ways, for example, as 60403984 + 52940176 = 7772^2 + 7276^2 .

It is a super-2 number, since 2×113344160² = 25693797212211200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113344163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43700 + ... + 46220.

Almost surely, 2^113344160 is an apocalyptic number.

113344160 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 113344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134417556).

113344160 is an abundant number, since it is smaller than the sum of its proper divisors (155490952).

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

113344160 is a wasteful number, since it uses less digits than its factorization.

113344160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 113344160 is about 10646.3214304284. The cubic root of 113344160 is about 483.9491329189.

Adding to 113344160 its reverse (61443311), we get a palindrome (174787471).

The spelling of 113344160 in words is "one hundred thirteen million, three hundred forty-four thousand, one hundred sixty".