10681635904 has 21 divisors (see below), whose sum is σ = 21198012087. Its totient is φ = 5340404544.

The previous prime is 10681635901. The next prime is 10681635941. The reversal of 10681635904 is 40953618601.

The square root of 10681635904 is 103352.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×10681635904² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10681635901) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 820357 + ... + 833275.

It is an arithmetic number, because the mean of its divisors is an integer number (1009429147).

Almost surely, 2^10681635904 is an apocalyptic number.

10681635904 is the 103352-nd square number.

It is an amenable number.

10681635904 is a deficient number, since it is larger than the sum of its proper divisors (10516376183).

10681635904 is an frugal number, since it uses more digits than its factorization.

10681635904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25850 (or 12921 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 10681635904 in words is "ten billion, six hundred eighty-one million, six hundred thirty-five thousand, nine hundred four".