10131706368 has 160 divisors (see below), whose sum is σ = 34275246720. Its totient is φ = 2894745600.

The previous prime is 10131706327. The next prime is 10131706369. The reversal of 10131706368 is 86360713101.

10131706368 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 17 + 0 + 636 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10131706369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44418 + ... + 149118.

It is an arithmetic number, because the mean of its divisors is an integer number (214220292).

Almost surely, 2^10131706368 is an apocalyptic number.

10131706368 is a gapful number since it is divisible by the number (18) 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 10131706368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17137623360).

10131706368 is an abundant number, since it is smaller than the sum of its proper divisors (24143540352).

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

10131706368 is an equidigital number, since it uses as much as digits as its factorization.

10131706368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104735 (or 104713 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10131706368 in words is "ten billion, one hundred thirty-one million, seven hundred six thousand, three hundred sixty-eight".