105137264511 has 12 divisors (see below), whose sum is σ = 151903858392. Its totient is φ = 70073546256.

The previous prime is 105137264467. The next prime is 105137264513. The reversal of 105137264511 is 115462731501.

105137264511 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 7 + 2 + 645 + 1 + 1 = 666.

It is not a de Polignac number, because 105137264511 - 2⁹ = 105137263999 is a prime.

It is a super-2 number, since 2×105137264511² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105137264513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1459836 + ... + 1530161.

It is an arithmetic number, because the mean of its divisors is an integer number (12658654866).

Almost surely, 2^105137264511 is an apocalyptic number.

105137264511 is a deficient number, since it is larger than the sum of its proper divisors (46766593881).

105137264511 is a wasteful number, since it uses less digits than its factorization.

105137264511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993910 (or 2993907 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 105137264511 in words is "one hundred five billion, one hundred thirty-seven million, two hundred sixty-four thousand, five hundred eleven".