105672792911 has 16 divisors (see below), whose sum is σ = 126071284224. Its totient is φ = 86603118624.

The previous prime is 105672792899. The next prime is 105672792937. The reversal of 105672792911 is 119297276501.

It is a cyclic number.

It is not a de Polignac number, because 105672792911 - 2⁶ = 105672792847 is a prime.

It is a super-2 number, since 2×105672792911² (a number of 23 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 105672792911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105672792811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264161 + ... + 530213.

It is an arithmetic number, because the mean of its divisors is an integer number (7879455264).

Almost surely, 2^105672792911 is an apocalyptic number.

105672792911 is a deficient number, since it is larger than the sum of its proper divisors (20398491313).

105672792911 is a wasteful number, since it uses less digits than its factorization.

105672792911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268550.

The product of its (nonzero) digits is 476280, while the sum is 50.

The spelling of 105672792911 in words is "one hundred five billion, six hundred seventy-two million, seven hundred ninety-two thousand, nine hundred eleven".