100044416 has 32 divisors (see below), whose sum is σ = 200776800. Its totient is φ = 49653504.

The previous prime is 100044391. The next prime is 100044431. The reversal of 100044416 is 614440001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 14981 + ... + 20603.

It is an arithmetic number, because the mean of its divisors is an integer number (6274275).

Almost surely, 2^100044416 is an apocalyptic number.

100044416 is a gapful number since it is divisible by the number (16) 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 100044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100388400).

100044416 is an abundant number, since it is smaller than the sum of its proper divisors (100732384).

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

100044416 is an equidigital number, since it uses as much as digits as its factorization.

100044416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 100044416 is about 10002.2205534571. The cubic root of 100044416 is about 464.2275934594.

Adding to 100044416 its reverse (614440001), we get a palindrome (714484417).

The spelling of 100044416 in words is "one hundred million, forty-four thousand, four hundred sixteen".