115105600 has 42 divisors (see below), whose sum is σ = 283235654. Its totient is φ = 46041600.

The previous prime is 115105583. The next prime is 115105609. The reversal of 115105600 is 6501511.

It can be written as a sum of positive squares in 3 ways, for example, as 529984 + 114575616 = 728^2 + 10704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115105609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34371 + ... + 37570.

Almost surely, 2^115105600 is an apocalyptic number.

115105600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115105600 is an abundant number, since it is smaller than the sum of its proper divisors (168130054).

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

115105600 is an equidigital number, since it uses as much as digits as its factorization.

115105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71963 (or 71948 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 115105600 is about 10728.7277903766. The cubic root of 115105600 is about 486.4432159490.

The spelling of 115105600 in words is "one hundred fifteen million, one hundred five thousand, six hundred".