100005506006 has 80 divisors (see below), whose sum is σ = 180951277584. Its totient is φ = 41422897152.

The previous prime is 100005505997. The next prime is 100005506011. The reversal of 100005506006 is 600605500001.

It is a super-2 number, since 2×100005506006² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20026646 + ... + 20031638.

Almost surely, 2^100005506006 is an apocalyptic number.

100005506006 is a deficient number, since it is larger than the sum of its proper divisors (80945771578).

100005506006 is an frugal number, since it uses more digits than its factorization.

100005506006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 100005506006 in words is "one hundred billion, five million, five hundred six thousand, six".