10681680300 has 72 divisors (see below), whose sum is σ = 32532292800. Its totient is φ = 2698528320.

The previous prime is 10681680299. The next prime is 10681680301. The reversal of 10681680300 is 308618601.

10681680300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10681680299) and next prime (10681680301).

It is a super-2 number, since 2×10681680300² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10681680301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931290 + ... + 942689.

It is an arithmetic number, because the mean of its divisors is an integer number (451837400).

Almost surely, 2^10681680300 is an apocalyptic number.

10681680300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10681680300 is an abundant number, since it is smaller than the sum of its proper divisors (21850612500).

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

10681680300 is a wasteful number, since it uses less digits than its factorization.

10681680300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874015 (or 1874008 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 10681680300 in words is "ten billion, six hundred eighty-one million, six hundred eighty thousand, three hundred".