10083875660 has 48 divisors (see below), whose sum is σ = 21810642336. Its totient is φ = 3913316352.

The previous prime is 10083875629. The next prime is 10083875677. The reversal of 10083875660 is 6657838001.

10083875660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 241919 + ... + 280521.

It is an arithmetic number, because the mean of its divisors is an integer number (454388382).

Almost surely, 2^10083875660 is an apocalyptic number.

10083875660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10083875660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905321168).

10083875660 is an abundant number, since it is smaller than the sum of its proper divisors (11726766676).

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

10083875660 is a wasteful number, since it uses less digits than its factorization.

10083875660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39002 (or 39000 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 10083875660 in words is "ten billion, eighty-three million, eight hundred seventy-five thousand, six hundred sixty".