105879437344681 has 144 divisors (see below), whose sum is σ = 148777725172608. Its totient is φ = 74053995724800.

The previous prime is 105879437344663. The next prime is 105879437344711. The reversal of 105879437344681 is 186443734978501.

It is not a de Polignac number, because 105879437344681 - 2¹³ = 105879437336489 is a prime.

It is a super-2 number, since 2×105879437344681² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105879437344681.

It is not an unprimeable number, because it can be changed into a prime (105879437344981) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2651141545 + ... + 2651181481.

It is an arithmetic number, because the mean of its divisors is an integer number (1033178647032).

Almost surely, 2^{105879437344681} is an apocalyptic number.

105879437344681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105879437344681 is a deficient number, since it is larger than the sum of its proper divisors (42898287827927).

105879437344681 is a wasteful number, since it uses less digits than its factorization.

105879437344681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40192 (or 40112 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 70.

The spelling of 105879437344681 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-one".