105605550610556 has 24 divisors (see below), whose sum is σ = 185007264140160. Its totient is φ = 52746352422192.

The previous prime is 105605550610531. The next prime is 105605550610591. The reversal of 105605550610556 is 655016055506501.

It is a super-3 number, since 3×105605550610556³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18486035 + ... + 23514773.

It is an arithmetic number, because the mean of its divisors is an integer number (7708636005840).

Almost surely, 2^{105605550610556} is an apocalyptic number.

It is an amenable number.

105605550610556 is a deficient number, since it is larger than the sum of its proper divisors (79401713529604).

105605550610556 is a wasteful number, since it uses less digits than its factorization.

105605550610556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034353 (or 5034351 counting only the distinct ones).

The product of its (nonzero) digits is 3375000, while the sum is 50.

The spelling of 105605550610556 in words is "one hundred five trillion, six hundred five billion, five hundred fifty million, six hundred ten thousand, five hundred fifty-six".