104616972567 has 6 divisors (see below), whose sum is σ = 151113404832. Its totient is φ = 69744648372.

The previous prime is 104616972533. The next prime is 104616972601. The reversal of 104616972567 is 765279616401.

104616972567 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 1 + 6 + 9 + 72 + 567 = 666.

It is an interprime number because it is at equal distance from previous prime (104616972533) and next prime (104616972601).

It is not a de Polignac number, because 104616972567 - 2¹¹ = 104616970519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104616972527) 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 5 ways as a sum of consecutive naturals, for example, 5812054023 + ... + 5812054040.

It is an arithmetic number, because the mean of its divisors is an integer number (25185567472).

Almost surely, 2^104616972567 is an apocalyptic number.

104616972567 is a deficient number, since it is larger than the sum of its proper divisors (46496432265).

104616972567 is a wasteful number, since it uses less digits than its factorization.

104616972567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11624108069 (or 11624108066 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 104616972567 in words is "one hundred four billion, six hundred sixteen million, nine hundred seventy-two thousand, five hundred sixty-seven".