105606171606056 has 48 divisors (see below), whose sum is σ = 219762181111200. Its totient is φ = 47536758577440.

The previous prime is 105606171606031. The next prime is 105606171606071. The reversal of 105606171606056 is 650606171606501.

It is a super-3 number, since 3×105606171606056³ (a number of 43 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 = 105606171605995 and 105606171606013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529498766 + ... + 529698173.

It is an arithmetic number, because the mean of its divisors is an integer number (4578378773150).

Almost surely, 2^{105606171606056} is an apocalyptic number.

It is an amenable number.

105606171606056 is an abundant number, since it is smaller than the sum of its proper divisors (114156009505144).

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

105606171606056 is a wasteful number, since it uses less digits than its factorization.

105606171606056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059197070 (or 1059197055 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 50.

The spelling of 105606171606056 in words is "one hundred five trillion, six hundred six billion, one hundred seventy-one million, six hundred six thousand, fifty-six".