10095921000 has 448 divisors, whose sum is σ = 38671214400. Its totient is φ = 2445552000.

The previous prime is 10095920999. The next prime is 10095921013. The reversal of 10095921000 is 12959001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8018371 + ... + 8019629.

It is an arithmetic number, because the mean of its divisors is an integer number (86319675).

Almost surely, 2^10095921000 is an apocalyptic number.

10095921000 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 10095921000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19335607200).

10095921000 is an abundant number, since it is smaller than the sum of its proper divisors (28575293400).

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

10095921000 is a wasteful number, since it uses less digits than its factorization.

10095921000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 10095921000 in words is "ten billion, ninety-five million, nine hundred twenty-one thousand".