105560006006 has 64 divisors (see below), whose sum is σ = 206687158272. Its totient is φ = 39238083072.

The previous prime is 105560005963. The next prime is 105560006059. The reversal of 105560006006 is 600600065501.

It is a super-2 number, since 2×105560006006² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105560006006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1849955 + ... + 1906161.

It is an arithmetic number, because the mean of its divisors is an integer number (3229486848).

Almost surely, 2^105560006006 is an apocalyptic number.

105560006006 is a deficient number, since it is larger than the sum of its proper divisors (101127152266).

105560006006 is a wasteful number, since it uses less digits than its factorization.

105560006006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56853.

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 105560006006 in words is "one hundred five billion, five hundred sixty million, six thousand, six".