103323201100 has 72 divisors (see below), whose sum is σ = 256474522080. Its totient is φ = 35392888320.

The previous prime is 103323201089. The next prime is 103323201127. The reversal of 103323201100 is 1102323301.

103323201100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709752 + ... + 842848.

It is an arithmetic number, because the mean of its divisors is an integer number (3562146140).

Almost surely, 2^103323201100 is an apocalyptic number.

103323201100 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 103323201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128237261040).

103323201100 is an abundant number, since it is smaller than the sum of its proper divisors (153151320980).

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

103323201100 is a wasteful number, since it uses less digits than its factorization.

103323201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134227 (or 134220 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103323201100 its reverse (1102323301), we get a palindrome (104425524401).

It can be divided in two parts, 103323201 and 100, that added together give a palindrome (103323301).

The spelling of 103323201100 in words is "one hundred three billion, three hundred twenty-three million, two hundred one thousand, one hundred".