102396768000 has 576 divisors, whose sum is σ = 350985083904. Its totient is φ = 26449920000.

The previous prime is 102396767971. The next prime is 102396768011. The reversal of 102396768000 is 867693201.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 565727910 + ... + 565728090.

It is an arithmetic number, because the mean of its divisors is an integer number (609349104).

Almost surely, 2^102396768000 is an apocalyptic number.

102396768000 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 102396768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175492541952).

102396768000 is an abundant number, since it is smaller than the sum of its proper divisors (248588315904).

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

102396768000 is an equidigital number, since it uses as much as digits as its factorization.

102396768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 102396768000 in words is "one hundred two billion, three hundred ninety-six million, seven hundred sixty-eight thousand".