125205 has 16 divisors (see below), whose sum is σ = 212544. Its totient is φ = 62720.

The previous prime is 125201. The next prime is 125207. The reversal of 125205 is 502521.

It is not a de Polignac number, because 125205 - 2² = 125201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (13284).

2¹²⁵²⁰⁵ is an apocalyptic number.

125205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125205 is a deficient number, since it is larger than the sum of its proper divisors (87339).

125205 is a wasteful number, since it uses less digits than its factorization.

125205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 125205 is about 353.8431856063. The cubic root of 125205 is about 50.0273184047.

Adding to 125205 its reverse (502521), we get a palindrome (627726).

The spelling of 125205 in words is "one hundred twenty-five thousand, two hundred five".