100443403324224 has 168 divisors, whose sum is σ = 290878423034472. Its totient is φ = 33135384268800.

The previous prime is 100443403324223. The next prime is 100443403324241. The reversal of 100443403324224 is 422423304344001.

100443403324224 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 3 + 403 + 3 + 24 + 224 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36254464084224 + 64188939240000 = 6021168^2 + 8011800^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100443403324223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 135354582 + ... + 136094634.

It is an arithmetic number, because the mean of its divisors is an integer number (1731419184729).

Almost surely, 2^{100443403324224} 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 100443403324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145439211517236).

100443403324224 is an abundant number, since it is smaller than the sum of its proper divisors (190435019710248).

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

100443403324224 is a wasteful number, since it uses less digits than its factorization.

100443403324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742505 (or 742492 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 100443403324224 its reverse (422423304344001), we get a palindrome (522866707668225).

The spelling of 100443403324224 in words is "one hundred trillion, four hundred forty-three billion, four hundred three million, three hundred twenty-four thousand, two hundred twenty-four".