100043328000 has 1280 divisors, whose sum is σ = 425050509312. Its totient is φ = 20275200000.

The previous prime is 100043327971. The next prime is 100043328013. The reversal of 100043328000 is 823340001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 990527950 + ... + 990528050.

Almost surely, 2^100043328000 is an apocalyptic number.

100043328000 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 100043328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212525254656).

100043328000 is an abundant number, since it is smaller than the sum of its proper divisors (325007181312).

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

100043328000 is a wasteful number, since it uses less digits than its factorization.

100043328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100043328000 its reverse (823340001), we get a palindrome (100866668001).

The spelling of 100043328000 in words is "one hundred billion, forty-three million, three hundred twenty-eight thousand".