10096195200 has 864 divisors, whose sum is σ = 42218012160. Its totient is φ = 2113413120.

The previous prime is 10096195189. The next prime is 10096195211. The reversal of 10096195200 is 259169001.

It is an interprime number because it is at equal distance from previous prime (10096195189) and next prime (10096195211).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 79497537 + ... + 79497663.

It is an arithmetic number, because the mean of its divisors is an integer number (48863440).

Almost surely, 2^10096195200 is an apocalyptic number.

10096195200 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 10096195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21109006080).

10096195200 is an abundant number, since it is smaller than the sum of its proper divisors (32121816960).

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

10096195200 is a wasteful number, since it uses less digits than its factorization.

10096195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The spelling of 10096195200 in words is "ten billion, ninety-six million, one hundred ninety-five thousand, two hundred".