105820074755 has 32 divisors (see below), whose sum is σ = 132897162240. Its totient is φ = 80787732480.

The previous prime is 105820074739. The next prime is 105820074781. The reversal of 105820074755 is 557470028501.

It is not a de Polignac number, because 105820074755 - 2⁴ = 105820074739 is a prime.

It is a super-2 number, since 2×105820074755² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4335947 + ... + 4360283.

It is an arithmetic number, because the mean of its divisors is an integer number (4153036320).

Almost surely, 2^105820074755 is an apocalyptic number.

105820074755 is a deficient number, since it is larger than the sum of its proper divisors (27077087485).

105820074755 is a wasteful number, since it uses less digits than its factorization.

105820074755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24719.

The product of its (nonzero) digits is 392000, while the sum is 44.

The spelling of 105820074755 in words is "one hundred five billion, eight hundred twenty million, seventy-four thousand, seven hundred fifty-five".