103001302414304 has 96 divisors (see below), whose sum is σ = 233971551426816. Its totient is φ = 43722275650560.

The previous prime is 103001302414271. The next prime is 103001302414321. The reversal of 103001302414304 is 403414203100301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9806519 + ... + 17383049.

It is an arithmetic number, because the mean of its divisors is an integer number (2437203660696).

Almost surely, 2^{103001302414304} is an apocalyptic number.

103001302414304 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 103001302414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116985775713408).

103001302414304 is an abundant number, since it is smaller than the sum of its proper divisors (130970249012512).

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

103001302414304 is a wasteful number, since it uses less digits than its factorization.

103001302414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577128 (or 7577120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 103001302414304 its reverse (403414203100301), we get a palindrome (506415505514605).

The spelling of 103001302414304 in words is "one hundred three trillion, one billion, three hundred two million, four hundred fourteen thousand, three hundred four".