108225 has 36 divisors (see below), whose sum is σ = 214396. Its totient is φ = 51840.

The previous prime is 108223. The next prime is 108233. The reversal of 108225 is 522801.

108225 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 6 ways, for example, as 1296 + 106929 = 36^2 + 327^2 .

It is not a de Polignac number, because 108225 - 2¹ = 108223 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 108198 and 108207.

It is not an unprimeable number, because it can be changed into a prime (108223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2907 + ... + 2943.

2¹⁰⁸²²⁵ is an apocalyptic number.

108225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108225 is a deficient number, since it is larger than the sum of its proper divisors (106171).

108225 is a wasteful number, since it uses less digits than its factorization.

108225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 108225 is about 328.9756829919. The cubic root of 108225 is about 47.6550794750.

It can be divided in two parts, 108 and 225, that added together give a palindrome (333).

The spelling of 108225 in words is "one hundred eight thousand, two hundred twenty-five".