105716700560 has 40 divisors (see below), whose sum is σ = 251507414400. Its totient is φ = 41303267712.

The previous prime is 105716700553. The next prime is 105716700569. The reversal of 105716700560 is 65007617501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105716700560² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105716700569) by changing a digit.

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, 15362360 + ... + 15369239.

It is an arithmetic number, because the mean of its divisors is an integer number (6287685360).

Almost surely, 2^105716700560 is an apocalyptic number.

105716700560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105716700560 is an abundant number, since it is smaller than the sum of its proper divisors (145790713840).

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

105716700560 is a wasteful number, since it uses less digits than its factorization.

105716700560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30731655 (or 30731649 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The spelling of 105716700560 in words is "one hundred five billion, seven hundred sixteen million, seven hundred thousand, five hundred sixty".