113204400 has 120 divisors (see below), whose sum is σ = 375251280. Its totient is φ = 29137920.

The previous prime is 113204387. The next prime is 113204401. The reversal of 113204400 is 4402311.

It is a tau number, because it is divible by the number of its divisors (120).

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 113204400.

It is not an unprimeable number, because it can be changed into a prime (113204401) 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, 33174 + ... + 36426.

It is an arithmetic number, because the mean of its divisors is an integer number (3127094).

Almost surely, 2^113204400 is an apocalyptic number.

113204400 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 113204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187625640).

113204400 is an abundant number, since it is smaller than the sum of its proper divisors (262046880).

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

113204400 is a wasteful number, since it uses less digits than its factorization.

113204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 113204400 is about 10639.7556362917. The cubic root of 113204400 is about 483.7501385467.

Adding to 113204400 its reverse (4402311), we get a palindrome (117606711).

The spelling of 113204400 in words is "one hundred thirteen million, two hundred four thousand, four hundred".