105680681856 has 160 divisors (see below), whose sum is σ = 315324523800. Its totient is φ = 35134995456.

The previous prime is 105680681833. The next prime is 105680681861. The reversal of 105680681856 is 658186086501.

105680681856 is a `hidden beast` number, since 1 + 0 + 568 + 0 + 68 + 18 + 5 + 6 = 666.

It is a super-2 number, since 2×105680681856² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4020051 + ... + 4046253.

Almost surely, 2^105680681856 is an apocalyptic number.

105680681856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105680681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157662261900).

105680681856 is an abundant number, since it is smaller than the sum of its proper divisors (209643841944).

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

105680681856 is an equidigital number, since it uses as much as digits as its factorization.

105680681856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26618 (or 26597 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 105680681856 in words is "one hundred five billion, six hundred eighty million, six hundred eighty-one thousand, eight hundred fifty-six".