100244400444 has 192 divisors, whose sum is σ = 279925632000. Its totient is φ = 30928988160.

The previous prime is 100244400433. The next prime is 100244400467. The reversal of 100244400444 is 444004442001.

100244400444 is a `hidden beast` number, since 10 + 0 + 244 + 400 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16460152 + ... + 16466240.

It is an arithmetic number, because the mean of its divisors is an integer number (1457946000).

Almost surely, 2^100244400444 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 100244400444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139962816000).

100244400444 is an abundant number, since it is smaller than the sum of its proper divisors (179681231556).

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

100244400444 is a wasteful number, since it uses less digits than its factorization.

100244400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 100244400444 its reverse (444004442001), we get a palindrome (544248842445).

The spelling of 100244400444 in words is "one hundred billion, two hundred forty-four million, four hundred thousand, four hundred forty-four".