115700 has 36 divisors (see below), whose sum is σ = 273420. Its totient is φ = 42240.

The previous prime is 115693. The next prime is 115727. The reversal of 115700 is 7511.

115700 = T₃₉ + T₄₀ + ... + T₉₀.

It can be written as a sum of positive squares in 6 ways, for example, as 26896 + 88804 = 164^2 + 298^2 .

It is a congruent number.

It is an unprimeable number.

115700 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 11 ways as a sum of consecutive naturals, for example, 1256 + ... + 1344.

It is an arithmetic number, because the mean of its divisors is an integer number (7595).

2¹¹⁵⁷⁰⁰ is an apocalyptic number.

115700 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 115700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136710).

115700 is an abundant number, since it is smaller than the sum of its proper divisors (157720).

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

115700 is a wasteful number, since it uses less digits than its factorization.

115700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 115700 is about 340.1470270339. The cubic root of 115700 is about 48.7279102200.

The spelling of 115700 in words is "one hundred fifteen thousand, seven hundred".