115160200 has 48 divisors (see below), whose sum is σ = 270445860. Its totient is φ = 45600000.

The previous prime is 115160167. The next prime is 115160233. The reversal of 115160200 is 2061511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115160167) and next prime (115160233).

It can be written as a sum of positive squares in 6 ways, for example, as 94128804 + 21031396 = 9702^2 + 4586^2 .

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 11 ways as a sum of consecutive naturals, for example, 17350 + ... + 23050.

Almost surely, 2^115160200 is an apocalyptic number.

115160200 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 115160200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135222930).

115160200 is an abundant number, since it is smaller than the sum of its proper divisors (155285660).

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

115160200 is a wasteful number, since it uses less digits than its factorization.

115160200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 115160200 is about 10731.2720588009. The cubic root of 115160200 is about 486.5201180898.

The spelling of 115160200 in words is "one hundred fifteen million, one hundred sixty thousand, two hundred".