105857777040 has 40 divisors (see below), whose sum is σ = 328159109568. Its totient is φ = 28228740480.

The previous prime is 105857777023. The next prime is 105857777059. The reversal of 105857777040 is 40777758501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105857777040² (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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220536796 + ... + 220537275.

Almost surely, 2^105857777040 is an apocalyptic number.

105857777040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105857777040 is an abundant number, since it is smaller than the sum of its proper divisors (222301332528).

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

105857777040 is a wasteful number, since it uses less digits than its factorization.

105857777040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441074087 (or 441074081 counting only the distinct ones).

The product of its (nonzero) digits is 1920800, while the sum is 51.

The spelling of 105857777040 in words is "one hundred five billion, eight hundred fifty-seven million, seven hundred seventy-seven thousand, forty".