10006680010 has 16 divisors (see below), whose sum is σ = 18103459176. Its totient is φ = 3982353088.

The previous prime is 10006679993. The next prime is 10006680037. The reversal of 10006680010 is 1008660001.

It can be written as a sum of positive squares in 4 ways, for example, as 10003400289 + 3279721 = 100017^2 + 1811^2 .

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, 2537797 + ... + 2541736.

Almost surely, 2^10006680010 is an apocalyptic number.

10006680010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10006680010 is a deficient number, since it is larger than the sum of its proper divisors (8096779166).

10006680010 is a wasteful number, since it uses less digits than its factorization.

10006680010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079737.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 10006680010 in words is "ten billion, six million, six hundred eighty thousand, ten".