105824053699956 has 18 divisors (see below), whose sum is σ = 267499691297202. Its totient is φ = 35274684566640.

The previous prime is 105824053699867. The next prime is 105824053699963. The reversal of 105824053699956 is 659996350428501.

105824053699956 is a `hidden beast` number, since 1 + 0 + 5 + 82 + 4 + 0 + 536 + 9 + 9 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84106030432356 + 21718023267600 = 9170934^2 + 4660260^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105824053699956² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1469778523575 + ... + 1469778523646.

Almost surely, 2^{105824053699956} is an apocalyptic number.

It is an amenable number.

105824053699956 is an abundant number, since it is smaller than the sum of its proper divisors (161675637597246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105824053699956 is a wasteful number, since it uses less digits than its factorization.

105824053699956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939557047231 (or 2939557047226 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 105824053699956 in words is "one hundred five trillion, eight hundred twenty-four billion, fifty-three million, six hundred ninety-nine thousand, nine hundred fifty-six".