102245200 has 30 divisors (see below), whose sum is σ = 245645054. Its totient is φ = 40897920.

The previous prime is 102245179. The next prime is 102245207. The reversal of 102245200 is 2542201.

It can be written as a sum of positive squares in 3 ways, for example, as 2005056 + 100240144 = 1416^2 + 10012^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102245207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127407 + ... + 128206.

Almost surely, 2^102245200 is an apocalyptic number.

102245200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102245200 is an abundant number, since it is smaller than the sum of its proper divisors (143399854).

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

102245200 is a wasteful number, since it uses less digits than its factorization.

102245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255631 (or 255620 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 102245200 is about 10111.6368605681. The cubic root of 102245200 is about 467.6069702887.

Adding to 102245200 its reverse (2542201), we get a palindrome (104787401).

The spelling of 102245200 in words is "one hundred two million, two hundred forty-five thousand, two hundred".