105608305583556 has 48 divisors (see below), whose sum is σ = 248925249256320. Its totient is φ = 34844972243200.

The previous prime is 105608305583509. The next prime is 105608305583567. The reversal of 105608305583556 is 655385503806501.

It is a super-3 number, since 3×105608305583556³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105608305583556.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7000041 + ... + 16131248.

It is an arithmetic number, because the mean of its divisors is an integer number (5185942692840).

Almost surely, 2^{105608305583556} is an apocalyptic number.

It is an amenable number.

105608305583556 is an abundant number, since it is smaller than the sum of its proper divisors (143316943672764).

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

105608305583556 is a wasteful number, since it uses less digits than its factorization.

105608305583556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23135164 (or 23135162 counting only the distinct ones).

The product of its (nonzero) digits is 64800000, while the sum is 60.

The spelling of 105608305583556 in words is "one hundred five trillion, six hundred eight billion, three hundred five million, five hundred eighty-three thousand, five hundred fifty-six".