113209200 has 360 divisors, whose sum is σ = 440753040. Its totient is φ = 26726400.

The previous prime is 113209193. The next prime is 113209207. The reversal of 113209200 is 2902311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113209193) and next prime (113209207).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113209207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1918771 + ... + 1918829.

It is an arithmetic number, because the mean of its divisors is an integer number (1224314).

Almost surely, 2^113209200 is an apocalyptic number.

113209200 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 113209200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220376520).

113209200 is an abundant number, since it is smaller than the sum of its proper divisors (327543840).

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

113209200 is a wasteful number, since it uses less digits than its factorization.

113209200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 113209200 is about 10639.9812029909. The cubic root of 113209200 is about 483.7569756421.

The spelling of 113209200 in words is "one hundred thirteen million, two hundred nine thousand, two hundred".