113102880 has 192 divisors, whose sum is σ = 401780736. Its totient is φ = 26496000.

The previous prime is 113102867. The next prime is 113102881. The reversal of 113102880 is 88201311.

It is a super-2 number, since 2×113102880² = 25584522928588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113102880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113102881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163335 + ... + 164025.

It is an arithmetic number, because the mean of its divisors is an integer number (2092608).

Almost surely, 2^113102880 is an apocalyptic number.

113102880 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 113102880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200890368).

113102880 is an abundant number, since it is smaller than the sum of its proper divisors (288677856).

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

113102880 is a wasteful number, since it uses less digits than its factorization.

113102880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 113102880 is about 10634.9837799594. The cubic root of 113102880 is about 483.6054886866.

The spelling of 113102880 in words is "one hundred thirteen million, one hundred two thousand, eight hundred eighty".