16330284100 has 81 divisors (see below), whose sum is σ = 38411378103. Its totient is φ = 6023509440.

The previous prime is 16330284097. The next prime is 16330284101. The reversal of 16330284100 is 148203361.

The square root of 16330284100 is 127790.

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

16330284100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4209154884 + 12121129216 = 64878^2 + 110096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16330284101) 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, 16612209 + ... + 16613191.

Almost surely, 2^16330284100 is an apocalyptic number.

16330284100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16330284100 is the 127790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16330284100

16330284100 is an abundant number, since it is smaller than the sum of its proper divisors (22081094003).

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

16330284100 is an equidigital number, since it uses as much as digits as its factorization.

16330284100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 16330284100 its reverse (148203361), we get a palindrome (16478487461).

The spelling of 16330284100 in words is "sixteen billion, three hundred thirty million, two hundred eighty-four thousand, one hundred".