102891195792 has 480 divisors, whose sum is σ = 373662941184. Its totient is φ = 25648358400.

The previous prime is 102891195787. The next prime is 102891195809. The reversal of 102891195792 is 297591198201.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43652278 + ... + 43654634.

Almost surely, 2^102891195792 is an apocalyptic number.

102891195792 is a gapful number since it is divisible by the number (12) 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 102891195792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186831470592).

102891195792 is an abundant number, since it is smaller than the sum of its proper divisors (270771745392).

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

102891195792 is a wasteful number, since it uses less digits than its factorization.

102891195792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 102891195792 in words is "one hundred two billion, eight hundred ninety-one million, one hundred ninety-five thousand, seven hundred ninety-two".