105890792553 has 72 divisors (see below), whose sum is σ = 193687445952. Its totient is φ = 54555306624.

The previous prime is 105890792519. The next prime is 105890792563. The reversal of 105890792553 is 355297098501.

105890792553 is a `hidden beast` number, since 1 + 0 + 5 + 89 + 0 + 7 + 9 + 2 + 553 = 666.

It is not a de Polignac number, because 105890792553 - 2⁹ = 105890792041 is a prime.

It is a super-2 number, since 2×105890792553² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105890792553.

It is not an unprimeable number, because it can be changed into a prime (105890792563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 342175 + ... + 573467.

It is an arithmetic number, because the mean of its divisors is an integer number (2690103416).

Almost surely, 2^105890792553 is an apocalyptic number.

105890792553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105890792553 is a deficient number, since it is larger than the sum of its proper divisors (87796653399).

105890792553 is a wasteful number, since it uses less digits than its factorization.

105890792553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231375 (or 231359 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 105890792553 in words is "one hundred five billion, eight hundred ninety million, seven hundred ninety-two thousand, five hundred fifty-three".