105805527856 has 40 divisors (see below), whose sum is σ = 234316232960. Its totient is φ = 45338923584.

The previous prime is 105805527811. The next prime is 105805527881. The reversal of 105805527856 is 658725508501.

It is a super-2 number, since 2×105805527856² (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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793735 + ... + 917401.

It is an arithmetic number, because the mean of its divisors is an integer number (5857905824).

Almost surely, 2^105805527856 is an apocalyptic number.

105805527856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105805527856 is an abundant number, since it is smaller than the sum of its proper divisors (128510705104).

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

105805527856 is a wasteful number, since it uses less digits than its factorization.

105805527856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131321 (or 131315 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 52.

The spelling of 105805527856 in words is "one hundred five billion, eight hundred five million, five hundred twenty-seven thousand, eight hundred fifty-six".