103303010304 has 288 divisors, whose sum is σ = 323336613600. Its totient is φ = 31773081600.

The previous prime is 103303010299. The next prime is 103303010323. The reversal of 103303010304 is 403010303301.

103303010304 is a `hidden beast` number, since 1 + 0 + 330 + 30 + 1 + 0 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40493829 + ... + 40496379.

It is an arithmetic number, because the mean of its divisors is an integer number (1122696575).

Almost surely, 2^103303010304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103303010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161668306800).

103303010304 is an abundant number, since it is smaller than the sum of its proper divisors (220033603296).

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

103303010304 is an equidigital number, since it uses as much as digits as its factorization.

103303010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103303010304 its reverse (403010303301), we get a palindrome (506313313605).

The spelling of 103303010304 in words is "one hundred three billion, three hundred three million, ten thousand, three hundred four".