105605665656 has 32 divisors (see below), whose sum is σ = 272530752000. Its totient is φ = 34066343520.

The previous prime is 105605665639. The next prime is 105605665661. The reversal of 105605665656 is 656566506501.

It is a super-3 number, since 3×105605665656³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105605665599 and 105605665608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70970806 + ... + 70972293.

It is an arithmetic number, because the mean of its divisors is an integer number (8516586000).

Almost surely, 2^105605665656 is an apocalyptic number.

It is an amenable number.

105605665656 is an abundant number, since it is smaller than the sum of its proper divisors (166925086344).

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

105605665656 is a wasteful number, since it uses less digits than its factorization.

105605665656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141943139 (or 141943135 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 105605665656 in words is "one hundred five billion, six hundred five million, six hundred sixty-five thousand, six hundred fifty-six".