105879437344680 has 128 divisors (see below), whose sum is σ = 319754846315520. Its totient is φ = 28046929582080.

The previous prime is 105879437344663. The next prime is 105879437344711. The reversal of 105879437344680 is 86443734978501.

It is a super-2 number, since 2×105879437344680² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8045004 + ... + 16627716.

It is an arithmetic number, because the mean of its divisors is an integer number (2498084736840).

Almost surely, 2^{105879437344680} is an apocalyptic number.

105879437344680 is a gapful number since it is divisible by the number (10) 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 105879437344680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159877423157760).

105879437344680 is an abundant number, since it is smaller than the sum of its proper divisors (213875408970840).

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

105879437344680 is a wasteful number, since it uses less digits than its factorization.

105879437344680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583411 (or 8583407 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 69.

The spelling of 105879437344680 in words is "one hundred five trillion, eight hundred seventy-nine billion, four hundred thirty-seven million, three hundred forty-four thousand, six hundred eighty".