10680724100 has 18 divisors (see below), whose sum is σ = 23177171514. Its totient is φ = 4272289600.

The previous prime is 10680724073. The next prime is 10680724123. The reversal of 10680724100 is 142708601.

It can be written as a sum of positive squares in 3 ways, for example, as 1099055104 + 9581668996 = 33152^2 + 97886^2 .

It is a super-2 number, since 2×10680724100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53403521 + ... + 53403720.

Almost surely, 2^10680724100 is an apocalyptic number.

10680724100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10680724100 is an abundant number, since it is smaller than the sum of its proper divisors (12496447414).

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

10680724100 is a wasteful number, since it uses less digits than its factorization.

10680724100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106807255 (or 106807248 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 10680724100 in words is "ten billion, six hundred eighty million, seven hundred twenty-four thousand, one hundred".