125330100 has 144 divisors (see below), whose sum is σ = 425889408. Its totient is φ = 27855360.

The previous prime is 125330089. The next prime is 125330113. The reversal of 125330100 is 1033521.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125330100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76894 + ... + 78506.

Almost surely, 2^125330100 is an apocalyptic number.

125330100 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 125330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212944704).

125330100 is an abundant number, since it is smaller than the sum of its proper divisors (300559308).

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

125330100 is a wasteful number, since it uses less digits than its factorization.

125330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 125330100 is about 11195.0926749179. The cubic root of 125330100 is about 500.4397464660.

Adding to 125330100 its reverse (1033521), we get a palindrome (126363621).

The spelling of 125330100 in words is "one hundred twenty-five million, three hundred thirty thousand, one hundred".