105702144338560 has 512 divisors, whose sum is σ = 317202706022400. Its totient is φ = 32721009868800.

The previous prime is 105702144338551. The next prime is 105702144338573. The reversal of 105702144338560 is 65833441207501.

It is a super-2 number, since 2×105702144338560² (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 63 ways as a sum of consecutive naturals, for example, 14129410020 + ... + 14129417500.

It is an arithmetic number, because the mean of its divisors is an integer number (619536535200).

Almost surely, 2^{105702144338560} is an apocalyptic number.

105702144338560 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 105702144338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158601353011200).

105702144338560 is an abundant number, since it is smaller than the sum of its proper divisors (211500561683840).

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

105702144338560 is a wasteful number, since it uses less digits than its factorization.

105702144338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9440 (or 9428 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 105702144338560 in words is "one hundred five trillion, seven hundred two billion, one hundred forty-four million, three hundred thirty-eight thousand, five hundred sixty".