105768968256 has 84 divisors (see below), whose sum is σ = 346477327872. Its totient is φ = 30219704064.

The previous prime is 105768968237. The next prime is 105768968311. The reversal of 105768968256 is 652869867501.

105768968256 is a `hidden beast` number, since 1 + 0 + 576 + 8 + 9 + 6 + 8 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×105768968256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 105768968193 and 105768968202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13112160 + ... + 13120223.

Almost surely, 2^105768968256 is an apocalyptic number.

105768968256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105768968256 is an abundant number, since it is smaller than the sum of its proper divisors (240708359616).

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

105768968256 is a wasteful number, since it uses less digits than its factorization.

105768968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26232408 (or 26232395 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 105768968256 in words is "one hundred five billion, seven hundred sixty-eight million, nine hundred sixty-eight thousand, two hundred fifty-six".