10131877668 has 96 divisors (see below), whose sum is σ = 28249119360. Its totient is φ = 2790000640.

The previous prime is 10131877663. The next prime is 10131877669. The reversal of 10131877668 is 86677813101.

It is a happy number.

10131877668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10131877663) 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 31 ways as a sum of consecutive naturals, for example, 12771 + ... + 142922.

It is an arithmetic number, because the mean of its divisors is an integer number (294261660).

Almost surely, 2^10131877668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131877668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124559680).

10131877668 is an abundant number, since it is smaller than the sum of its proper divisors (18117241692).

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

10131877668 is a wasteful number, since it uses less digits than its factorization.

10131877668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155757 (or 155755 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 10131877668 in words is "ten billion, one hundred thirty-one million, eight hundred seventy-seven thousand, six hundred sixty-eight".