100244444144 has 80 divisors (see below), whose sum is σ = 220559112480. Its totient is φ = 43754618880.

The previous prime is 100244444129. The next prime is 100244444177. The reversal of 100244444144 is 441444442001.

It is a self number, because there is not a number n which added to its sum of digits gives 100244444144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2258324 + ... + 2302284.

It is an arithmetic number, because the mean of its divisors is an integer number (2756988906).

Almost surely, 2^100244444144 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 100244444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110279556240).

100244444144 is an abundant number, since it is smaller than the sum of its proper divisors (120314668336).

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

100244444144 is a wasteful number, since it uses less digits than its factorization.

100244444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44578 (or 44572 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 100244444144 its reverse (441444442001), we get a palindrome (541688886145).

The spelling of 100244444144 in words is "one hundred billion, two hundred forty-four million, four hundred forty-four thousand, one hundred forty-four".