105756817653 has 54 divisors (see below), whose sum is σ = 159765818966. Its totient is φ = 67363380000.

The previous prime is 105756817651. The next prime is 105756817669. The reversal of 105756817653 is 356718657501.

It is a happy number.

105756817653 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 568 + 1 + 76 + 5 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102898525284 + 2858292369 = 320778^2 + 53463^2 .

It is not a de Polignac number, because 105756817653 - 2¹ = 105756817651 is a prime.

It is a super-2 number, since 2×105756817653² (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 105756817653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105756817651) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 421341778 + ... + 421342028.

Almost surely, 2^105756817653 is an apocalyptic number.

It is an amenable number.

105756817653 is a deficient number, since it is larger than the sum of its proper divisors (54009001313).

105756817653 is an frugal number, since it uses more digits than its factorization.

105756817653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 105756817653 in words is "one hundred five billion, seven hundred fifty-six million, eight hundred seventeen thousand, six hundred fifty-three".