105977746080 has 144 divisors (see below), whose sum is σ = 364850052840. Its totient is φ = 28010594304.

The previous prime is 105977746079. The next prime is 105977746097. The reversal of 105977746080 is 80647779501.

105977746080 is a `hidden beast` number, since 1 + 0 + 597 + 7 + 7 + 46 + 0 + 8 + 0 = 666.

105977746080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73139957136 + 32837788944 = 270444^2 + 181212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105977746080² (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 23 ways as a sum of consecutive naturals, for example, 162925 + ... + 488364.

Almost surely, 2^105977746080 is an apocalyptic number.

105977746080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105977746080 is an abundant number, since it is smaller than the sum of its proper divisors (258872306760).

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

105977746080 is a wasteful number, since it uses less digits than its factorization.

105977746080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651423 (or 651412 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 105977746080 in words is "one hundred five billion, nine hundred seventy-seven million, seven hundred forty-six thousand, eighty".