115354600 has 48 divisors (see below), whose sum is σ = 271907820. Its totient is φ = 45504000.

The previous prime is 115354597. The next prime is 115354601. The reversal of 115354600 is 6453511.

It can be written as a sum of positive squares in 6 ways, for example, as 56280004 + 59074596 = 7502^2 + 7686^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (115354601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10650 + ... + 18550.

Almost surely, 2^115354600 is an apocalyptic number.

115354600 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 115354600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135953910).

115354600 is an abundant number, since it is smaller than the sum of its proper divisors (156553220).

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

115354600 is a wasteful number, since it uses less digits than its factorization.

115354600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 115354600 is about 10740.3258795997. The cubic root of 115354600 is about 486.7937263371.

The spelling of 115354600 in words is "one hundred fifteen million, three hundred fifty-four thousand, six hundred".