105877047168 has 48 divisors (see below), whose sum is σ = 304672235400. Its totient is φ = 35292348672.

The previous prime is 105877047163. The next prime is 105877047179. The reversal of 105877047168 is 861740778501.

105877047168 is a `hidden beast` number, since 1 + 0 + 587 + 7 + 0 + 47 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105877047168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105877047161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45952428 + ... + 45954731.

Almost surely, 2^105877047168 is an apocalyptic number.

105877047168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105877047168 is an abundant number, since it is smaller than the sum of its proper divisors (198795188232).

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

105877047168 is an equidigital number, since it uses as much as digits as its factorization.

105877047168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91907179 (or 91907164 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 105877047168 in words is "one hundred five billion, eight hundred seventy-seven million, forty-seven thousand, one hundred sixty-eight".