10006005006 has 40 divisors (see below), whose sum is σ = 22432354560. Its totient is φ = 3333625632.

The previous prime is 10006005001. The next prime is 10006005019. The reversal of 10006005006 is 60050060001.

10006005006 is a `hidden beast` number, since 10 + 0 + 0 + 600 + 50 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10006005006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006005001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 323635 + ... + 353201.

It is an arithmetic number, because the mean of its divisors is an integer number (560808864).

Almost surely, 2^10006005006 is an apocalyptic number.

10006005006 is an abundant number, since it is smaller than the sum of its proper divisors (12426349554).

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

10006005006 is a wasteful number, since it uses less digits than its factorization.

10006005006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31670 (or 31661 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10006005006 its reverse (60050060001), we get a palindrome (70056065007).

It can be divided in two parts, 1000 and 6005006, that added together give a palindrome (6006006).

The spelling of 10006005006 in words is "ten billion, six million, five thousand, six".