105605006056 has 32 divisors (see below), whose sum is σ = 216043109280. Its totient is φ = 47994971200.

The previous prime is 105605006029. The next prime is 105605006113. The reversal of 105605006056 is 650600506501.

It is a super-2 number, since 2×105605006056² (a number of 23 digits) contains 22 as substring.

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, 512886 + ... + 688666.

It is an arithmetic number, because the mean of its divisors is an integer number (6751347165).

Almost surely, 2^105605006056 is an apocalyptic number.

It is an amenable number.

105605006056 is an abundant number, since it is smaller than the sum of its proper divisors (110438103224).

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

105605006056 is a wasteful number, since it uses less digits than its factorization.

105605006056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182625 (or 182621 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 105605006056 in words is "one hundred five billion, six hundred five million, six thousand, fifty-six".