100505005006006 has 32 divisors (see below), whose sum is σ = 152351852922720. Its totient is φ = 49722624032256.

The previous prime is 100505005005967. The next prime is 100505005006037. The reversal of 100505005006006 is 600600500505001.

It is a super-2 number, since 2×100505005006006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 473712660 + ... + 473924776.

It is an arithmetic number, because the mean of its divisors is an integer number (4760995403835).

Almost surely, 2^{100505005006006} is an apocalyptic number.

100505005006006 is a deficient number, since it is larger than the sum of its proper divisors (51846847916714).

100505005006006 is a wasteful number, since it uses less digits than its factorization.

100505005006006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215808.

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 100505005006006 in words is "one hundred trillion, five hundred five billion, five million, six thousand, six".