105560557056 has 120 divisors (see below), whose sum is σ = 309819355560. Its totient is φ = 34590375936.

The previous prime is 105560557021. The next prime is 105560557099. The reversal of 105560557056 is 650755065501.

105560557056 is a `hidden beast` number, since 10 + 5 + 5 + 60 + 5 + 570 + 5 + 6 = 666.

It is a super-2 number, since 2×105560557056² (a number of 23 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 11 ways as a sum of consecutive naturals, for example, 77736 + ... + 466008.

It is an arithmetic number, because the mean of its divisors is an integer number (2581827963).

Almost surely, 2^105560557056 is an apocalyptic number.

105560557056 is a gapful number since it is divisible by the number (16) 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 105560557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154909677780).

105560557056 is an abundant number, since it is smaller than the sum of its proper divisors (204258798504).

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

105560557056 is an equidigital number, since it uses as much as digits as its factorization.

105560557056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388356 (or 388337 counting only the distinct ones).

The product of its (nonzero) digits is 787500, while the sum is 45.

The spelling of 105560557056 in words is "one hundred five billion, five hundred sixty million, five hundred fifty-seven thousand, fifty-six".