100125444 has 48 divisors (see below), whose sum is σ = 253423296. Its totient is φ = 30643200.

The previous prime is 100125433. The next prime is 100125449. The reversal of 100125444 is 444521001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100125444.

It is not an unprimeable number, because it can be changed into a prime (100125449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2379 + ... + 14349.

It is an arithmetic number, because the mean of its divisors is an integer number (5279652).

Almost surely, 2^100125444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100125444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126711648).

100125444 is an abundant number, since it is smaller than the sum of its proper divisors (153297852).

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

100125444 is a wasteful number, since it uses less digits than its factorization.

100125444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12036 (or 12034 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 100125444 is about 10006.2702342081. The cubic root of 100125444 is about 464.3528887511.

Adding to 100125444 its reverse (444521001), we get a palindrome (544646445).

The spelling of 100125444 in words is "one hundred million, one hundred twenty-five thousand, four hundred forty-four".