115097600 has 90 divisors (see below), whose sum is σ = 286449114. Its totient is φ = 45875200.

The previous prime is 115097597. The next prime is 115097617. The reversal of 115097600 is 6790511.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12845056 + 102252544 = 3584^2 + 10112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409460 + ... + 409740.

Almost surely, 2^115097600 is an apocalyptic number.

115097600 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 115097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143224557).

115097600 is an abundant number, since it is smaller than the sum of its proper divisors (171351514).

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

115097600 is an frugal number, since it uses more digits than its factorization.

115097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 115097600 is about 10728.3549531137. The cubic root of 115097600 is about 486.4319461935.

The spelling of 115097600 in words is "one hundred fifteen million, ninety-seven thousand, six hundred".