113600 has 42 divisors (see below), whose sum is σ = 283464. Its totient is φ = 44800.

The previous prime is 113591. The next prime is 113621. The reversal of 113600 is 6311.

It is a congruent number.

It is an unprimeable number.

113600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1565 + ... + 1635.

2¹¹³⁶⁰⁰ is an apocalyptic number.

113600 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 113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141732).

113600 is an abundant number, since it is smaller than the sum of its proper divisors (169864).

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

113600 is an equidigital number, since it uses as much as digits as its factorization.

113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 113600 is about 337.0459909271. The cubic root of 113600 is about 48.4312982001.

Adding to 113600 its reverse (6311), we get a palindrome (119911).

The spelling of 113600 in words is "one hundred thirteen thousand, six hundred".