115605200 has 60 divisors (see below), whose sum is σ = 286731648. Its totient is φ = 44745600.

The previous prime is 115605167. The next prime is 115605229. The reversal of 115605200 is 2506511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7739 + ... + 17061.

Almost surely, 2^115605200 is an apocalyptic number.

115605200 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 115605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143365824).

115605200 is an abundant number, since it is smaller than the sum of its proper divisors (171126448).

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

115605200 is a wasteful number, since it uses less digits than its factorization.

115605200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9372 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 115605200 is about 10751.9858630859. The cubic root of 115605200 is about 487.1459800996.

The spelling of 115605200 in words is "one hundred fifteen million, six hundred five thousand, two hundred".