102305200 has 30 divisors (see below), whose sum is σ = 245789204. Its totient is φ = 40921920.

The previous prime is 102305191. The next prime is 102305207. The reversal of 102305200 is 2503201.

It is not an unprimeable number, because it can be changed into a prime (102305207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127482 + ... + 128281.

Almost surely, 2^102305200 is an apocalyptic number.

102305200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102305200 is an abundant number, since it is smaller than the sum of its proper divisors (143484004).

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

102305200 is a wasteful number, since it uses less digits than its factorization.

102305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255781 (or 255770 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 102305200 is about 10114.6033041341. The cubic root of 102305200 is about 467.6984201626.

Adding to 102305200 its reverse (2503201), we get a palindrome (104808401).

The spelling of 102305200 in words is "one hundred two million, three hundred five thousand, two hundred".