115166007 has 48 divisors (see below), whose sum is σ = 196953120. Its totient is φ = 64051200.

The previous prime is 115165969. The next prime is 115166081. The reversal of 115166007 is 700661511.

115166007 is a `hidden beast` number, since 1 + 1 + 51 + 6 + 600 + 7 = 666.

It is not a de Polignac number, because 115166007 - 2⁸ = 115165751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115162007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68169 + ... + 69837.

It is an arithmetic number, because the mean of its divisors is an integer number (4103190).

Almost surely, 2^115166007 is an apocalyptic number.

115166007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

115166007 is a deficient number, since it is larger than the sum of its proper divisors (81787113).

115166007 is a wasteful number, since it uses less digits than its factorization.

115166007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 115166007 is about 10731.5426197728. The cubic root of 115166007 is about 486.5282956107.

The spelling of 115166007 in words is "one hundred fifteen million, one hundred sixty-six thousand, seven".