115065120 has 96 divisors (see below), whose sum is σ = 369375552. Its totient is φ = 30098432.

The previous prime is 115065107. The next prime is 115065133. The reversal of 115065120 is 21560511.

It is an interprime number because it is at equal distance from previous prime (115065107) and next prime (115065133).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×115065120² = 26479963681228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23179 + ... + 27701.

It is an arithmetic number, because the mean of its divisors is an integer number (3847662).

Almost surely, 2^115065120 is an apocalyptic number.

115065120 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 115065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184687776).

115065120 is an abundant number, since it is smaller than the sum of its proper divisors (254310432).

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

115065120 is a wasteful number, since it uses less digits than its factorization.

115065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 115065120 is about 10726.8411007155. The cubic root of 115065120 is about 486.3861856216.

The spelling of 115065120 in words is "one hundred fifteen million, sixty-five thousand, one hundred twenty".