115106313 has 32 divisors (see below), whose sum is σ = 188953600. Its totient is φ = 60854976.

The previous prime is 115106291. The next prime is 115106347. The reversal of 115106313 is 313601511.

It is not a de Polignac number, because 115106313 - 2⁹ = 115105801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 115106313.

It is not an unprimeable number, because it can be changed into a prime (115106363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13803 + ... + 20511.

It is an arithmetic number, because the mean of its divisors is an integer number (5904800).

Almost surely, 2^115106313 is an apocalyptic number.

It is an amenable number.

115106313 is a deficient number, since it is larger than the sum of its proper divisors (73847287).

115106313 is a wasteful number, since it uses less digits than its factorization.

115106313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 115106313 is about 10728.7610188689. The cubic root of 115106313 is about 486.4442203406. Note that the first 3 decimals are identical.

Adding to 115106313 its reverse (313601511), we get a palindrome (428707824).

The spelling of 115106313 in words is "one hundred fifteen million, one hundred six thousand, three hundred thirteen".