100443332440 has 128 divisors (see below), whose sum is σ = 263631827520. Its totient is φ = 34035712000.

The previous prime is 100443332399. The next prime is 100443332443. The reversal of 100443332440 is 44233344001.

It is a junction number, because it is equal to n+sod(n) for n = 100443332399 and 100443332408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100443332443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689004 + ... + 821956.

Almost surely, 2^100443332440 is an apocalyptic number.

100443332440 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 100443332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131815913760).

100443332440 is an abundant number, since it is smaller than the sum of its proper divisors (163188495080).

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

100443332440 is a wasteful number, since it uses less digits than its factorization.

100443332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133093 (or 133089 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 100443332440 its reverse (44233344001), we get a palindrome (144676676441).

The spelling of 100443332440 in words is "one hundred billion, four hundred forty-three million, three hundred thirty-two thousand, four hundred forty".