102302200 has 288 divisors, whose sum is σ = 329510160. Its totient is φ = 29030400.

The previous prime is 102302173. The next prime is 102302219. The reversal of 102302200 is 2203201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1401364 + ... + 1401436.

Almost surely, 2^102302200 is an apocalyptic number.

102302200 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 102302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164755080).

102302200 is an abundant number, since it is smaller than the sum of its proper divisors (227207960).

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

102302200 is a wasteful number, since it uses less digits than its factorization.

102302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 102302200 is about 10114.4550026188. The cubic root of 102302200 is about 467.6938485182.

Adding to 102302200 its reverse (2203201), we get a palindrome (104505401).

The spelling of 102302200 in words is "one hundred two million, three hundred two thousand, two hundred".