115616105 has 48 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 79622400.

The previous prime is 115616093. The next prime is 115616113. The reversal of 115616105 is 501616511.

It is not a de Polignac number, because 115616105 - 2⁴ = 115616089 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 1463456 + ... + 1463534.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2^115616105 is an apocalyptic number.

It is an amenable number.

115616105 is a deficient number, since it is larger than the sum of its proper divisors (45260695).

115616105 is a wasteful number, since it uses less digits than its factorization.

115616105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 115616105 is about 10752.4929667496. The cubic root of 115616105 is about 487.1612970573.

The spelling of 115616105 in words is "one hundred fifteen million, six hundred sixteen thousand, one hundred five".