100441000 has 128 divisors (see below), whose sum is σ = 268220160. Its totient is φ = 34848000.

The previous prime is 100440943. The next prime is 100441009. The reversal of 100441000 is 144001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100441009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252802 + ... + 253198.

It is an arithmetic number, because the mean of its divisors is an integer number (2095470).

Almost surely, 2^100441000 is an apocalyptic number.

100441000 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 100441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134110080).

100441000 is an abundant number, since it is smaller than the sum of its proper divisors (167779160).

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

100441000 is a wasteful number, since it uses less digits than its factorization.

100441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100441000 is about 10022.0257433315. The cubic root of 100441000 is about 464.8401963690.

Adding to 100441000 its reverse (144001), we get a palindrome (100585001).

The spelling of 100441000 in words is "one hundred million, four hundred forty-one thousand".