105870837918720 has 1408 divisors, whose sum is σ = 419080862361600. Its totient is φ = 22723417866240.

The previous prime is 105870837918653. The next prime is 105870837918731. The reversal of 105870837918720 is 27819738078501.

It is a super-2 number, since 2×105870837918720² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48991594440 + ... + 48991596600.

Almost surely, 2^{105870837918720} is an apocalyptic number.

105870837918720 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 105870837918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209540431180800).

105870837918720 is an abundant number, since it is smaller than the sum of its proper divisors (313210024442880).

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

105870837918720 is a wasteful number, since it uses less digits than its factorization.

105870837918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 66.

The spelling of 105870837918720 in words is "one hundred five trillion, eight hundred seventy billion, eight hundred thirty-seven million, nine hundred eighteen thousand, seven hundred twenty".