125100 has 54 divisors (see below), whose sum is σ = 394940. Its totient is φ = 33120.

The previous prime is 125093. The next prime is 125101. The reversal of 125100 is 1521.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (125101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 831 + ... + 969.

2¹²⁵¹⁰⁰ is an apocalyptic number.

125100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197470).

125100 is an abundant number, since it is smaller than the sum of its proper divisors (269840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125100 is a wasteful number, since it uses less digits than its factorization.

125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

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

The square root of 125100 is about 353.6947836765. The cubic root of 125100 is about 50.0133297794.

Adding to 125100 its reverse (1521), we get a palindrome (126621).

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

The spelling of 125100 in words is "one hundred twenty-five thousand, one hundred".