102045988800 has 756 divisors, whose sum is σ = 436547315880. Its totient is φ = 22515978240.

The previous prime is 102045988787. The next prime is 102045988819. The reversal of 102045988800 is 8889540201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 20459907 + ... + 20464893.

Almost surely, 2^102045988800 is an apocalyptic number.

102045988800 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 102045988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218273657940).

102045988800 is an abundant number, since it is smaller than the sum of its proper divisors (334501327080).

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

102045988800 is a wasteful number, since it uses less digits than its factorization.

102045988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 102045988800 in words is "one hundred two billion, forty-five million, nine hundred eighty-eight thousand, eight hundred".