105943836561520 has 160 divisors (see below), whose sum is σ = 253243173899520. Its totient is φ = 41199253585920.

The previous prime is 105943836561427. The next prime is 105943836561631. The reversal of 105943836561520 is 25165638349501.

It is a super-2 number, since 2×105943836561520² (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 31 ways as a sum of consecutive naturals, for example, 372688240 + ... + 372972400.

It is an arithmetic number, because the mean of its divisors is an integer number (1582769836872).

Almost surely, 2^{105943836561520} is an apocalyptic number.

105943836561520 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 105943836561520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126621586949760).

105943836561520 is an abundant number, since it is smaller than the sum of its proper divisors (147299337338000).

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

105943836561520 is a wasteful number, since it uses less digits than its factorization.

105943836561520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284883 (or 284877 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 58.

The spelling of 105943836561520 in words is "one hundred five trillion, nine hundred forty-three billion, eight hundred thirty-six million, five hundred sixty-one thousand, five hundred twenty".