105707687180 has 24 divisors (see below), whose sum is σ = 222314068368. Its totient is φ = 42220612928.

The previous prime is 105707687179. The next prime is 105707687207. The reversal of 105707687180 is 81786707501.

It is a happy number.

It is a super-2 number, since 2×105707687180² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3889994 + ... + 3917073.

It is an arithmetic number, because the mean of its divisors is an integer number (9263086182).

Almost surely, 2^105707687180 is an apocalyptic number.

105707687180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105707687180 is an abundant number, since it is smaller than the sum of its proper divisors (116606381188).

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

105707687180 is a wasteful number, since it uses less digits than its factorization.

105707687180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7807753 (or 7807751 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 50.

The spelling of 105707687180 in words is "one hundred five billion, seven hundred seven million, six hundred eighty-seven thousand, one hundred eighty".