105609772768671 has 6 divisors (see below), whose sum is σ = 152547449554760. Its totient is φ = 70406515179108.

The previous prime is 105609772768649. The next prime is 105609772768673. The reversal of 105609772768671 is 176867277906501.

105609772768671 is a `hidden beast` number, since 1 + 0 + 5 + 609 + 7 + 7 + 2 + 7 + 6 + 8 + 6 + 7 + 1 = 666.

It is not a de Polignac number, because 105609772768671 - 2⁷ = 105609772768543 is a prime.

It is a super-2 number, since 2×105609772768671² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105609772768671.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105609772768673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5867209598251 + ... + 5867209598268.

Almost surely, 2^{105609772768671} is an apocalyptic number.

105609772768671 is a deficient number, since it is larger than the sum of its proper divisors (46937676786089).

105609772768671 is a wasteful number, since it uses less digits than its factorization.

105609772768671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11734419196525 (or 11734419196522 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 72.

The spelling of 105609772768671 in words is "one hundred five trillion, six hundred nine billion, seven hundred seventy-two million, seven hundred sixty-eight thousand, six hundred seventy-one".