113432100 has 72 divisors (see below), whose sum is σ = 338811648. Its totient is φ = 29270400.

The previous prime is 113432093. The next prime is 113432101. The reversal of 113432100 is 1234311.

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 113432100.

It is not an unprimeable number, because it can be changed into a prime (113432101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3202 + ... + 15398.

Almost surely, 2^113432100 is an apocalyptic number.

113432100 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 113432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169405824).

113432100 is an abundant number, since it is smaller than the sum of its proper divisors (225379548).

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

113432100 is a wasteful number, since it uses less digits than its factorization.

113432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12245 (or 12238 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113432100 is about 10650.4506946889. The cubic root of 113432100 is about 484.0742606270.

Adding to 113432100 its reverse (1234311), we get a palindrome (114666411).

The spelling of 113432100 in words is "one hundred thirteen million, four hundred thirty-two thousand, one hundred".