18303384100 has 81 divisors (see below), whose sum is σ = 40450798353. Its totient is φ = 7188769440.

The previous prime is 18303384049. The next prime is 18303384103. The reversal of 18303384100 is 148330381.

The square root of 18303384100 is 135290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6589218276 + 11714165824 = 81174^2 + 108232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18303384103) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 112290619 + ... + 112290781.

Almost surely, 2^18303384100 is an apocalyptic number.

18303384100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18303384100 is the 135290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18303384100

18303384100 is an abundant number, since it is smaller than the sum of its proper divisors (22147414253).

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

18303384100 is an equidigital number, since it uses as much as digits as its factorization.

18303384100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 18303384100 in words is "eighteen billion, three hundred three million, three hundred eighty-four thousand, one hundred".