100321242320 has 80 divisors (see below), whose sum is σ = 251501559120. Its totient is φ = 36995592192.

The previous prime is 100321242311. The next prime is 100321242341. The reversal of 100321242320 is 23242123001.

It can be written as a sum of positive squares in 8 ways, for example, as 10287639184 + 90033603136 = 101428^2 + 300056^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100321242292 and 100321242301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781742 + ... + 900978.

It is an arithmetic number, because the mean of its divisors is an integer number (3143769489).

Almost surely, 2^100321242320 is an apocalyptic number.

100321242320 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 100321242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125750779560).

100321242320 is an abundant number, since it is smaller than the sum of its proper divisors (151180316800).

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

100321242320 is a wasteful number, since it uses less digits than its factorization.

100321242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120072 (or 120066 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100321242320 its reverse (23242123001), we get a palindrome (123563365321).

The spelling of 100321242320 in words is "one hundred billion, three hundred twenty-one million, two hundred forty-two thousand, three hundred twenty".