105606055606056 has 64 divisors (see below), whose sum is σ = 264221656171200. Its totient is φ = 35174489968128.

The previous prime is 105606055606039. The next prime is 105606055606061. The reversal of 105606055606056 is 650606550606501.

It is a super-3 number, since 3×105606055606056³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 243720811 + ... + 244153733.

It is an arithmetic number, because the mean of its divisors is an integer number (4128463377675).

Almost surely, 2^{105606055606056} is an apocalyptic number.

It is an amenable number.

105606055606056 is an abundant number, since it is smaller than the sum of its proper divisors (158615600565144).

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

105606055606056 is a wasteful number, since it uses less digits than its factorization.

105606055606056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440858 (or 440854 counting only the distinct ones).

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

The spelling of 105606055606056 in words is "one hundred five trillion, six hundred six billion, fifty-five million, six hundred six thousand, fifty-six".