115600 has 45 divisors (see below), whose sum is σ = 295027. Its totient is φ = 43520.

The previous prime is 115597. The next prime is 115601. The reversal of 115600 is 6511.

115600 = T₃₃₉ + T₃₄₀.

The square root of 115600 is 340.

It is a perfect power (a square), and thus also a powerful number.

115600 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 2704 + 112896 = 52^2 + 336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6792 + ... + 6808.

2¹¹⁵⁶⁰⁰ is an apocalyptic number.

115600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115600 is the 340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115600

115600 is an abundant number, since it is smaller than the sum of its proper divisors (179427).

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

115600 is a wasteful number, since it uses less digits than its factorization.

115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The cubic root of 115600 is about 48.7138675938.

The spelling of 115600 in words is "one hundred fifteen thousand, six hundred".