125640100 has 36 divisors (see below), whose sum is σ = 274201200. Its totient is φ = 49968160.

The previous prime is 125640091. The next prime is 125640133. The reversal of 125640100 is 1046521.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14391 + ... + 21409.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2^125640100 is an apocalyptic number.

125640100 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 125640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137100600).

125640100 is an abundant number, since it is smaller than the sum of its proper divisors (148561100).

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

125640100 is a wasteful number, since it uses less digits than its factorization.

125640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7212 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 125640100 is about 11208.9294760918. The cubic root of 125640100 is about 500.8520139863.

Adding to 125640100 its reverse (1046521), we get a palindrome (126686621).

The spelling of 125640100 in words is "one hundred twenty-five million, six hundred forty thousand, one hundred".