113810688 has 108 divisors (see below), whose sum is σ = 335444928. Its totient is φ = 37094400.

The previous prime is 113810681. The next prime is 113810707. The reversal of 113810688 is 886018311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113810681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107763 + ... + 108813.

Almost surely, 2^113810688 is an apocalyptic number.

113810688 is a gapful number since it is divisible by the number (18) 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 113810688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167722464).

113810688 is an abundant number, since it is smaller than the sum of its proper divisors (221634240).

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

113810688 is a wasteful number, since it uses less digits than its factorization.

113810688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 113810688 is about 10668.2092217954. The cubic root of 113810688 is about 484.6122071075.

Adding to 113810688 its reverse (886018311), we get a palindrome (999828999).

The spelling of 113810688 in words is "one hundred thirteen million, eight hundred ten thousand, six hundred eighty-eight".