105605555556 has 48 divisors (see below), whose sum is σ = 251323357824. Its totient is φ = 34501748736.

The previous prime is 105605555521. The next prime is 105605555581. The reversal of 105605555556 is 655555506501.

It is a super-3 number, since 3×105605555556³ (a number of 34 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529156 + ... + 700868.

It is an arithmetic number, because the mean of its divisors is an integer number (5235903288).

Almost surely, 2^105605555556 is an apocalyptic number.

It is an amenable number.

105605555556 is an abundant number, since it is smaller than the sum of its proper divisors (145717802268).

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

105605555556 is a wasteful number, since it uses less digits than its factorization.

105605555556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172740 (or 172738 counting only the distinct ones).

The product of its (nonzero) digits is 2812500, while the sum is 48.

It can be divided in two parts, 10560 and 5555556, that added together give a triangular number (5566116 = T₃₃₃₆).

The spelling of 105605555556 in words is "one hundred five billion, six hundred five million, five hundred fifty-five thousand, five hundred fifty-six".