105807706768 has 80 divisors (see below), whose sum is σ = 219425598720. Its totient is φ = 49278354048.

The previous prime is 105807706759. The next prime is 105807706789. The reversal of 105807706768 is 867607708501.

It is a super-2 number, since 2×105807706768² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11462571 + ... + 11471797.

It is an arithmetic number, because the mean of its divisors is an integer number (2742819984).

Almost surely, 2^105807706768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105807706768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109712799360).

105807706768 is an abundant number, since it is smaller than the sum of its proper divisors (113617891952).

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

105807706768 is a wasteful number, since it uses less digits than its factorization.

105807706768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 55.

The spelling of 105807706768 in words is "one hundred five billion, eight hundred seven million, seven hundred six thousand, seven hundred sixty-eight".