102323200 has 132 divisors (see below), whose sum is σ = 290379232. Its totient is φ = 35020800.

The previous prime is 102323197. The next prime is 102323203. The reversal of 102323200 is 2323201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102323197) and next prime (102323203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102323203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178915 + ... + 179485.

Almost surely, 2^102323200 is an apocalyptic number.

102323200 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 102323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145189616).

102323200 is an abundant number, since it is smaller than the sum of its proper divisors (188056032).

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

102323200 is an equidigital number, since it uses as much as digits as its factorization.

102323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 102323200 is about 10115.4930675672. The cubic root of 102323200 is about 467.7258481522.

Adding to 102323200 its reverse (2323201), we get a palindrome (104646401).

Subtracting from 102323200 its reverse (2323201), we obtain a palindrome (99999999).

The spelling of 102323200 in words is "one hundred two million, three hundred twenty-three thousand, two hundred".