105011882857 has 32 divisors (see below), whose sum is σ = 127248076800. Its totient is φ = 84655404288.

The previous prime is 105011882849. The next prime is 105011882869. The reversal of 105011882857 is 758288110501.

It is not a de Polignac number, because 105011882857 - 2³ = 105011882849 is a prime.

It is a super-2 number, since 2×105011882857² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105011882837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10707318 + ... + 10717120.

It is an arithmetic number, because the mean of its divisors is an integer number (3976502400).

Almost surely, 2^105011882857 is an apocalyptic number.

It is an amenable number.

105011882857 is a deficient number, since it is larger than the sum of its proper divisors (22236193943).

105011882857 is a wasteful number, since it uses less digits than its factorization.

105011882857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10405.

The product of its (nonzero) digits is 179200, while the sum is 46.

The spelling of 105011882857 in words is "one hundred five billion, eleven million, eight hundred eighty-two thousand, eight hundred fifty-seven".