105716683080 has 48 divisors (see below), whose sum is σ = 343579221180. Its totient is φ = 28191115392.

The previous prime is 105716683049. The next prime is 105716683097. The reversal of 105716683080 is 80386617501.

105716683080 is a `hidden beast` number, since 10 + 571 + 6 + 68 + 3 + 0 + 8 + 0 = 666.

105716683080 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 2 ways, for example, as 105018772356 + 697910724 = 324066^2 + 26418^2 .

It is a super-2 number, since 2×105716683080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 146828367 + ... + 146829086.

Almost surely, 2^105716683080 is an apocalyptic number.

105716683080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105716683080 is an abundant number, since it is smaller than the sum of its proper divisors (237862538100).

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

105716683080 is a wasteful number, since it uses less digits than its factorization.

105716683080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293657470 (or 293657463 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 105716683080 in words is "one hundred five billion, seven hundred sixteen million, six hundred eighty-three thousand, eighty".