100441128 has 64 divisors (see below), whose sum is σ = 258552000. Its totient is φ = 32502272.

The previous prime is 100441111. The next prime is 100441129. The reversal of 100441128 is 821144001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100441129) 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, 125626 + ... + 126422.

It is an arithmetic number, because the mean of its divisors is an integer number (4039875).

Almost surely, 2^100441128 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 100441128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276000).

100441128 is an abundant number, since it is smaller than the sum of its proper divisors (158110872).

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

100441128 is a wasteful number, since it uses less digits than its factorization.

100441128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 100441128 is about 10022.0321292640. The cubic root of 100441128 is about 464.8403938300.

Adding to 100441128 its reverse (821144001), we get a palindrome (921585129).

The spelling of 100441128 in words is "one hundred million, four hundred forty-one thousand, one hundred twenty-eight".