100125 has 24 divisors (see below), whose sum is σ = 182520. Its totient is φ = 52800.

The previous prime is 100109. The next prime is 100129. The reversal of 100125 is 521001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13689 + 86436 = 117^2 + 294^2 .

It is not a de Polignac number, because 100125 - 2⁴ = 100109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100129) 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, 1081 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (7605).

2¹⁰⁰¹²⁵ is an apocalyptic number.

100125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100125 is a deficient number, since it is larger than the sum of its proper divisors (82395).

100125 is an equidigital number, since it uses as much as digits as its factorization.

100125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 100125 is about 316.4253466459. The cubic root of 100125 is about 46.4352202369.

Adding to 100125 its reverse (521001), we get a palindrome (621126).

It can be divided in two parts, 100 and 125, that added together give a square (225 = 15²).

The spelling of 100125 in words is "one hundred thousand, one hundred twenty-five".