102304800 has 216 divisors, whose sum is σ = 388857924. Its totient is φ = 25159680.

The previous prime is 102304789. The next prime is 102304801. The reversal of 102304800 is 8403201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 50637456 + 51667344 = 7116^2 + 7188^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102304801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93054 + ... + 94146.

Almost surely, 2^102304800 is an apocalyptic number.

102304800 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 102304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194428962).

102304800 is an abundant number, since it is smaller than the sum of its proper divisors (286553124).

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

102304800 is a wasteful number, since it uses less digits than its factorization.

102304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102304800 is about 10114.5835307243. The cubic root of 102304800 is about 467.6978106152.

The spelling of 102304800 in words is "one hundred two million, three hundred four thousand, eight hundred".