113071200 has 144 divisors (see below), whose sum is σ = 401599296. Its totient is φ = 27404800.

The previous prime is 113071193. The next prime is 113071201. The reversal of 113071200 is 2170311.

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 113071200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113071201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24259 + ... + 28541.

It is an arithmetic number, because the mean of its divisors is an integer number (2788884).

Almost surely, 2^113071200 is an apocalyptic number.

113071200 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 113071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200799648).

113071200 is an abundant number, since it is smaller than the sum of its proper divisors (288528096).

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

113071200 is a wasteful number, since it uses less digits than its factorization.

113071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 113071200 is about 10633.4942516559. The cubic root of 113071200 is about 483.5603320041.

The spelling of 113071200 in words is "one hundred thirteen million, seventy-one thousand, two hundred".