125610 has 32 divisors (see below), whose sum is σ = 311040. Its totient is φ = 32448.

The previous prime is 125597. The next prime is 125617. The reversal of 125610 is 16521.

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

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 125610.

It is not an unprimeable number, because it can be changed into a prime (125617) by changing a digit.

125610 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1551 + ... + 1629.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2¹²⁵⁶¹⁰ is an apocalyptic number.

125610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

125610 is an abundant number, since it is smaller than the sum of its proper divisors (185430).

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

125610 is a wasteful number, since it uses less digits than its factorization.

125610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 125610 is about 354.4150109688. The cubic root of 125610 is about 50.0812013886.

The spelling of 125610 in words is "one hundred twenty-five thousand, six hundred ten".