100321144432 has 40 divisors (see below), whose sum is σ = 201327739200. Its totient is φ = 48369952512.

The previous prime is 100321144409. The next prime is 100321144433. The reversal of 100321144432 is 234441123001.

It is a junction number, because it is equal to n+sod(n) for n = 100321144397 and 100321144406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100321144433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234169 + ... + 505447.

It is an arithmetic number, because the mean of its divisors is an integer number (5033193480).

Almost surely, 2^100321144432 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 100321144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100663869600).

100321144432 is an abundant number, since it is smaller than the sum of its proper divisors (101006594768).

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

100321144432 is a wasteful number, since it uses less digits than its factorization.

100321144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272113 (or 272107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 100321144432 its reverse (234441123001), we get a palindrome (334762267433).

The spelling of 100321144432 in words is "one hundred billion, three hundred twenty-one million, one hundred forty-four thousand, four hundred thirty-two".