113664107 has 2 divisors, whose sum is σ = 113664108. Its totient is φ = 113664106.

The previous prime is 113664017. The next prime is 113664119. The reversal of 113664107 is 701466311.

Together with previous prime (113664017) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 113664107 - 2¹⁶ = 113598571 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113664107.

It is not a weakly prime, because it can be changed into another prime (113663107) 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 as a sum of consecutive naturals, namely, 56832053 + 56832054.

It is an arithmetic number, because the mean of its divisors is an integer number (56832054).

Almost surely, 2^113664107 is an apocalyptic number.

113664107 is a deficient number, since it is larger than the sum of its proper divisors (1).

113664107 is an equidigital number, since it uses as much as digits as its factorization.

113664107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 113664107 is about 10661.3370174664. The cubic root of 113664107 is about 484.4040677221.

The spelling of 113664107 in words is "one hundred thirteen million, six hundred sixty-four thousand, one hundred seven".