113207600 has 90 divisors (see below), whose sum is σ = 299082420. Its totient is φ = 41148800.

The previous prime is 113207599. The next prime is 113207603. The reversal of 113207600 is 6702311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (113207603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47231 + ... + 49569.

It is an arithmetic number, because the mean of its divisors is an integer number (3323138).

Almost surely, 2^113207600 is an apocalyptic number.

113207600 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 113207600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149541210).

113207600 is an abundant number, since it is smaller than the sum of its proper divisors (185874820).

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

113207600 is a wasteful number, since it uses less digits than its factorization.

113207600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 113207600 is about 10639.9060146225. The cubic root of 113207600 is about 483.7546966317.

Adding to 113207600 its reverse (6702311), we get a palindrome (119909911).

It can be divided in two parts, 11 and 3207600, that multiplied together give a square (35283600 = 5940²).

The spelling of 113207600 in words is "one hundred thirteen million, two hundred seven thousand, six hundred".