100332304400 has 120 divisors (see below), whose sum is σ = 254232165600. Its totient is φ = 37946188800.

The previous prime is 100332304361. The next prime is 100332304409. The reversal of 100332304400 is 4403233001.

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

It is not an unprimeable number, because it can be changed into a prime (100332304409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3946931 + ... + 3972269.

It is an arithmetic number, because the mean of its divisors is an integer number (2118601380).

Almost surely, 2^100332304400 is an apocalyptic number.

100332304400 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 100332304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127116082800).

100332304400 is an abundant number, since it is smaller than the sum of its proper divisors (153899861200).

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

100332304400 is a wasteful number, since it uses less digits than its factorization.

100332304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25897 (or 25886 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 100332304400 its reverse (4403233001), we get a palindrome (104735537401).

The spelling of 100332304400 in words is "one hundred billion, three hundred thirty-two million, three hundred four thousand, four hundred".