115814600 has 96 divisors (see below), whose sum is σ = 298909440. Its totient is φ = 41376000.

The previous prime is 115814537. The next prime is 115814651. The reversal of 115814600 is 6418511.

It is a self number, because there is not a number n which added to its sum of digits gives 115814600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133769 + ... + 134631.

It is an arithmetic number, because the mean of its divisors is an integer number (3113640).

Almost surely, 2^115814600 is an apocalyptic number.

115814600 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 115814600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149454720).

115814600 is an abundant number, since it is smaller than the sum of its proper divisors (183094840).

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

115814600 is a wasteful number, since it uses less digits than its factorization.

115814600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 115814600 is about 10761.7191935118. The cubic root of 115814600 is about 487.4399312356.

The spelling of 115814600 in words is "one hundred fifteen million, eight hundred fourteen thousand, six hundred".