105157664959 has 2 divisors, whose sum is σ = 105157664960. Its totient is φ = 105157664958.

The previous prime is 105157664873. The next prime is 105157665023. The reversal of 105157664959 is 959466751501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105157664959 - 2²⁵ = 105124110527 is a prime.

It is a super-2 number, since 2×105157664959² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105157664459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52578832479 + 52578832480.

It is an arithmetic number, because the mean of its divisors is an integer number (52578832480).

Almost surely, 2^105157664959 is an apocalyptic number.

105157664959 is a deficient number, since it is larger than the sum of its proper divisors (1).

105157664959 is an equidigital number, since it uses as much as digits as its factorization.

105157664959 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206000, while the sum is 58.

The spelling of 105157664959 in words is "one hundred five billion, one hundred fifty-seven million, six hundred sixty-four thousand, nine hundred fifty-nine".