102225 has 24 divisors (see below), whose sum is σ = 178560. Its totient is φ = 51520.

The previous prime is 102217. The next prime is 102229. The reversal of 102225 is 522201.

102225 = 10² + 11² + ... + 67².

It is not a de Polignac number, because 102225 - 2³ = 102217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102225.

It is not an unprimeable number, because it can be changed into a prime (102229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2152 + ... + 2198.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2¹⁰²²²⁵ is an apocalyptic number.

102225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102225 is a deficient number, since it is larger than the sum of its proper divisors (76335).

102225 is a wasteful number, since it uses less digits than its factorization.

102225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 102225 is about 319.7264455750. The cubic root of 102225 is about 46.7576174115.

Adding to 102225 its reverse (522201), we get a palindrome (624426).

The spelling of 102225 in words is "one hundred two thousand, two hundred twenty-five".