125388100 has 36 divisors (see below), whose sum is σ = 275388624. Its totient is φ = 49547680.

The previous prime is 125388061. The next prime is 125388121. The reversal of 125388100 is 1883521.

It is a super-2 number, since 2×125388100² = 31444351243220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 747 + ... + 15853.

It is an arithmetic number, because the mean of its divisors is an integer number (7649684).

Almost surely, 2^125388100 is an apocalyptic number.

125388100 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 125388100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137694312).

125388100 is an abundant number, since it is smaller than the sum of its proper divisors (150000524).

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

125388100 is a wasteful number, since it uses less digits than its factorization.

125388100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15204 (or 15197 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 125388100 is about 11197.6827960074. The cubic root of 125388100 is about 500.5169320450.

The spelling of 125388100 in words is "one hundred twenty-five million, three hundred eighty-eight thousand, one hundred".