115095312 has 240 divisors, whose sum is σ = 371404800. Its totient is φ = 33073920.

The previous prime is 115095301. The next prime is 115095319. The reversal of 115095312 is 213590511.

It is not an unprimeable number, because it can be changed into a prime (115095319) 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 47 ways as a sum of consecutive naturals, for example, 1950739 + ... + 1950797.

It is an arithmetic number, because the mean of its divisors is an integer number (1547520).

Almost surely, 2^115095312 is an apocalyptic number.

115095312 is a gapful number since it is divisible by the number (12) 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 115095312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

115095312 is an abundant number, since it is smaller than the sum of its proper divisors (256309488).

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

115095312 is a wasteful number, since it uses less digits than its factorization.

115095312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 115095312 is about 10728.2483192737. The cubic root of 115095312 is about 486.4287229475.

The spelling of 115095312 in words is "one hundred fifteen million, ninety-five thousand, three hundred twelve".