10304354144 has 48 divisors (see below), whose sum is σ = 23243397408. Its totient is φ = 4404989952.

The previous prime is 10304354141. The next prime is 10304354147. The reversal of 10304354144 is 44145340301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10304354141) and next prime (10304354147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304354141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30992 + ... + 146864.

It is an arithmetic number, because the mean of its divisors is an integer number (484237446).

Almost surely, 2^10304354144 is an apocalyptic number.

10304354144 is a gapful number since it is divisible by the number (14) 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 10304354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621698704).

10304354144 is an abundant number, since it is smaller than the sum of its proper divisors (12939043264).

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

10304354144 is a wasteful number, since it uses less digits than its factorization.

10304354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116287 (or 116279 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 10304354144 its reverse (44145340301), we get a palindrome (54449694445).

The spelling of 10304354144 in words is "ten billion, three hundred four million, three hundred fifty-four thousand, one hundred forty-four".