102225600 has 252 divisors, whose sum is σ = 376692160. Its totient is φ = 26265600.

The previous prime is 102225589. The next prime is 102225601. The reversal of 102225600 is 6522201.

102225600 is a `hidden beast` number, since 102 + 2 + 2 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102225601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 446286 + ... + 446514.

Almost surely, 2^102225600 is an apocalyptic number.

102225600 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 102225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188346080).

102225600 is an abundant number, since it is smaller than the sum of its proper divisors (274466560).

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

102225600 is a wasteful number, since it uses less digits than its factorization.

102225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102225600 is about 10110.6676337421. The cubic root of 102225600 is about 467.5770889110.

Adding to 102225600 its reverse (6522201), we get a palindrome (108747801).

The spelling of 102225600 in words is "one hundred two million, two hundred twenty-five thousand, six hundred".