113202400 has 72 divisors (see below), whose sum is σ = 280388304. Its totient is φ = 44620800.

The previous prime is 113202379. The next prime is 113202407. The reversal of 113202400 is 4202311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113202407) 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, 55804 + ... + 57796.

It is an arithmetic number, because the mean of its divisors is an integer number (3894282).

Almost surely, 2^113202400 is an apocalyptic number.

113202400 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 113202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140194152).

113202400 is an abundant number, since it is smaller than the sum of its proper divisors (167185904).

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

113202400 is a wasteful number, since it uses less digits than its factorization.

113202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 113202400 is about 10639.6616487556. The cubic root of 113202400 is about 483.7472896999.

Adding to 113202400 its reverse (4202311), we get a palindrome (117404711).

The spelling of 113202400 in words is "one hundred thirteen million, two hundred two thousand, four hundred".