105560585810556 has 48 divisors (see below), whose sum is σ = 257324200388640. Its totient is φ = 33637150355200.

The previous prime is 105560585810531. The next prime is 105560585810557. The reversal of 105560585810556 is 655018585065501.

It is a super-2 number, since 2×105560585810556² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105560585810556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105560585810557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501623351 + ... + 1501693646.

It is an arithmetic number, because the mean of its divisors is an integer number (5360920841430).

Almost surely, 2^{105560585810556} is an apocalyptic number.

It is an amenable number.

105560585810556 is an abundant number, since it is smaller than the sum of its proper divisors (151763614578084).

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

105560585810556 is a wasteful number, since it uses less digits than its factorization.

105560585810556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003317134 (or 3003317132 counting only the distinct ones).

The product of its (nonzero) digits is 36000000, while the sum is 60.

The spelling of 105560585810556 in words is "one hundred five trillion, five hundred sixty billion, five hundred eighty-five million, eight hundred ten thousand, five hundred fifty-six".