100044441043300 has 144 divisors (see below), whose sum is σ = 234663363989712. Its totient is φ = 36802509004800.

The previous prime is 100044441043231. The next prime is 100044441043333. The reversal of 100044441043300 is 3340144440001.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 99998840003364 + 45601039936 = 9999942^2 + 213544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3060101754 + ... + 3060134446.

It is an arithmetic number, because the mean of its divisors is an integer number (1629606694373).

Almost surely, 2^{100044441043300} is an apocalyptic number.

100044441043300 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 100044441043300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117331681994856).

100044441043300 is an abundant number, since it is smaller than the sum of its proper divisors (134618922946412).

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

100044441043300 is a wasteful number, since it uses less digits than its factorization.

100044441043300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41378 (or 41371 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 100044441043300 its reverse (3340144440001), we get a palindrome (103384585483301).

The spelling of 100044441043300 in words is "one hundred trillion, forty-four billion, four hundred forty-one million, forty-three thousand, three hundred".