105676577012772 has 72 divisors (see below), whose sum is σ = 278764520658624. Its totient is φ = 33691151964096.

The previous prime is 105676577012771. The next prime is 105676577012791. The reversal of 105676577012772 is 277210775676501.

105676577012772 is a `hidden beast` number, since 1 + 0 + 56 + 7 + 6 + 577 + 0 + 1 + 2 + 7 + 7 + 2 = 666.

It is a super-2 number, since 2×105676577012772² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105676577012771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4520038 + ... + 15224450.

It is an arithmetic number, because the mean of its divisors is an integer number (3871729453592).

Almost surely, 2^{105676577012772} is an apocalyptic number.

105676577012772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105676577012772 is an abundant number, since it is smaller than the sum of its proper divisors (173087943645852).

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

105676577012772 is a wasteful number, since it uses less digits than its factorization.

105676577012772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716369 (or 10716364 counting only the distinct ones).

The product of its (nonzero) digits is 60505200, while the sum is 63.

The spelling of 105676577012772 in words is "one hundred five trillion, six hundred seventy-six billion, five hundred seventy-seven million, twelve thousand, seven hundred seventy-two".