10146107160 has 384 divisors, whose sum is σ = 39846643200. Its totient is φ = 2193308928.

The previous prime is 10146107159. The next prime is 10146107197. The reversal of 10146107160 is 6170164101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17284387 + ... + 17284973.

It is an arithmetic number, because the mean of its divisors is an integer number (103767300).

Almost surely, 2^10146107160 is an apocalyptic number.

10146107160 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 10146107160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19923321600).

10146107160 is an abundant number, since it is smaller than the sum of its proper divisors (29700536040).

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

10146107160 is a wasteful number, since it uses less digits than its factorization.

10146107160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10146107160 in words is "ten billion, one hundred forty-six million, one hundred seven thousand, one hundred sixty".