100421443584 has 1008 divisors, whose sum is σ = 389495995200. Its totient is φ = 24710676480.

The previous prime is 100421443561. The next prime is 100421443609. The reversal of 100421443584 is 485344124001.

100421443584 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 214 + 435 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 5285339127 + ... + 5285339145.

Almost surely, 2^100421443584 is an apocalyptic number.

100421443584 is a gapful number since it is divisible by the number (14) 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 100421443584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194747997600).

100421443584 is an abundant number, since it is smaller than the sum of its proper divisors (289074551616).

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

100421443584 is an equidigital number, since it uses as much as digits as its factorization.

100421443584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 100421443584 its reverse (485344124001), we get a palindrome (585765567585).

The spelling of 100421443584 in words is "one hundred billion, four hundred twenty-one million, four hundred forty-three thousand, five hundred eighty-four".