102303200 has 72 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 39910400.

The previous prime is 102303169. The next prime is 102303209. The reversal of 102303200 is 2303201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102303209) 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, 31241 + ... + 34359.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^102303200 is an apocalyptic number.

102303200 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 102303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

102303200 is an abundant number, since it is smaller than the sum of its proper divisors (153617920).

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

102303200 is a wasteful number, since it uses less digits than its factorization.

102303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 102303200 is about 10114.5044366988. The cubic root of 102303200 is about 467.6953724096.

Adding to 102303200 its reverse (2303201), we get a palindrome (104606401).

Subtracting from 102303200 its reverse (2303201), we obtain a palindrome (99999999).

The spelling of 102303200 in words is "one hundred two million, three hundred three thousand, two hundred".