113088 has 56 divisors (see below), whose sum is σ = 325120. Its totient is φ = 34560.

The previous prime is 113083. The next prime is 113089. The reversal of 113088 is 880311.

It is a happy number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113081) by changing a digit.

113088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3633 + ... + 3663.

2¹¹³⁰⁸⁸ 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 113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162560).

113088 is an abundant number, since it is smaller than the sum of its proper divisors (212032).

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

113088 is a wasteful number, since it uses less digits than its factorization.

113088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 113088 is about 336.2855929117. The cubic root of 113088 is about 48.3584279780.

Subtracting from 113088 its product of nonzero digits (192), we obtain a square (112896 = 336²).

Adding to 113088 its reverse (880311), we get a palindrome (993399).

The spelling of 113088 in words is "one hundred thirteen thousand, eighty-eight".