102003916800 has 720 divisors, whose sum is σ = 377381471040. Its totient is φ = 24159191040.

The previous prime is 102003916771. The next prime is 102003916813. The reversal of 102003916800 is 8619300201.

102003916800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396902272 + ... + 396902528.

It is an arithmetic number, because the mean of its divisors is an integer number (524140932).

Almost surely, 2^102003916800 is an apocalyptic number.

102003916800 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 102003916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188690735520).

102003916800 is an abundant number, since it is smaller than the sum of its proper divisors (275377554240).

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

102003916800 is a wasteful number, since it uses less digits than its factorization.

102003916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 102003916800 in words is "one hundred two billion, three million, nine hundred sixteen thousand, eight hundred".