100125200 has 60 divisors (see below), whose sum is σ = 274922880. Its totient is φ = 34327680.

The previous prime is 100125161. The next prime is 100125203. The reversal of 100125200 is 2521001.

It is not an unprimeable number, because it can be changed into a prime (100125203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15080 + ... + 20679.

It is an arithmetic number, because the mean of its divisors is an integer number (4582048).

Almost surely, 2^100125200 is an apocalyptic number.

100125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100125200 is an abundant number, since it is smaller than the sum of its proper divisors (174797680).

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

100125200 is a wasteful number, since it uses less digits than its factorization.

100125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35784 (or 35773 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 100125200 is about 10006.2580418456. The cubic root of 100125200 is about 464.3525115502.

Adding to 100125200 its reverse (2521001), we get a palindrome (102646201).

The spelling of 100125200 in words is "one hundred million, one hundred twenty-five thousand, two hundred".