108025 has 12 divisors (see below), whose sum is σ = 139500. Its totient is φ = 82880.

The previous prime is 108023. The next prime is 108037. The reversal of 108025 is 520801.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12544 + 95481 = 112^2 + 309^2 .

It is not a de Polignac number, because 108025 - 2¹ = 108023 is a prime.

108025 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (108023) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 651 + ... + 799.

It is an arithmetic number, because the mean of its divisors is an integer number (11625).

2¹⁰⁸⁰²⁵ is an apocalyptic number.

It is an amenable number.

108025 is a deficient number, since it is larger than the sum of its proper divisors (31475).

108025 is a wasteful number, since it uses less digits than its factorization.

108025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 108025 is about 328.6715685909. The cubic root of 108025 is about 47.6257058150.

Adding to 108025 its reverse (520801), we get a palindrome (628826).

It can be divided in two parts, 1080 and 25, that multiplied together give a cube (27000 = 30³).

The spelling of 108025 in words is "one hundred eight thousand, twenty-five".