105256827640 has 32 divisors (see below), whose sum is σ = 241296317280. Its totient is φ = 41308339072.

The previous prime is 105256827629. The next prime is 105256827671. The reversal of 105256827640 is 46728652501.

It is a super-2 number, since 2×105256827640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24822604 + ... + 24826843.

It is an arithmetic number, because the mean of its divisors is an integer number (7540509915).

Almost surely, 2^105256827640 is an apocalyptic number.

105256827640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105256827640 is an abundant number, since it is smaller than the sum of its proper divisors (136039489640).

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

105256827640 is a wasteful number, since it uses less digits than its factorization.

105256827640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49649511 (or 49649507 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 105256827640 in words is "one hundred five billion, two hundred fifty-six million, eight hundred twenty-seven thousand, six hundred forty".