105866338117344 has 384 divisors, whose sum is σ = 322218592819200. Its totient is φ = 29810899722240.

The previous prime is 105866338117301. The next prime is 105866338117391. The reversal of 105866338117344 is 443711833668501.

It is a super-2 number, since 2×105866338117344² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12802794042 + ... + 12802802310.

It is an arithmetic number, because the mean of its divisors is an integer number (839110918800).

Almost surely, 2^{105866338117344} is an apocalyptic number.

105866338117344 is a gapful number since it is divisible by the number (14) 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 105866338117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161109296409600).

105866338117344 is an abundant number, since it is smaller than the sum of its proper divisors (216352254701856).

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

105866338117344 is a wasteful number, since it uses less digits than its factorization.

105866338117344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9306 (or 9298 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 105866338117344 in words is "one hundred five trillion, eight hundred sixty-six billion, three hundred thirty-eight million, one hundred seventeen thousand, three hundred forty-four".