113252100 has 144 divisors (see below), whose sum is σ = 358727040. Its totient is φ = 27417600.

The previous prime is 113252099. The next prime is 113252101. The reversal of 113252100 is 1252311.

113252100 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (113252099) and next prime (113252101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113252100.

It is not an unprimeable number, because it can be changed into a prime (113252101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276696 + ... + 277104.

It is an arithmetic number, because the mean of its divisors is an integer number (2491160).

Almost surely, 2^113252100 is an apocalyptic number.

113252100 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 113252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179363520).

113252100 is an abundant number, since it is smaller than the sum of its proper divisors (245474940).

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

113252100 is a wasteful number, since it uses less digits than its factorization.

113252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 113252100 is about 10641.9969930460. The cubic root of 113252100 is about 483.8180736016.

The spelling of 113252100 in words is "one hundred thirteen million, two hundred fifty-two thousand, one hundred".