103434603330401 has 24 divisors (see below), whose sum is σ = 125263724694120. Its totient is φ = 85055821224192.

The previous prime is 103434603330389. The next prime is 103434603330427. The reversal of 103434603330401 is 104033306434301.

It can be written as a sum of positive squares in 4 ways, for example, as 397182290176 + 103037421040225 = 630224^2 + 10150735^2 .

It is not a de Polignac number, because 103434603330401 - 2¹⁴ = 103434603314017 is a prime.

It is a super-2 number, since 2×103434603330401² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103434603330481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231592220 + ... + 232038413.

It is an arithmetic number, because the mean of its divisors is an integer number (5219321862255).

Almost surely, 2^{103434603330401} is an apocalyptic number.

It is an amenable number.

103434603330401 is a deficient number, since it is larger than the sum of its proper divisors (21829121363719).

103434603330401 is a wasteful number, since it uses less digits than its factorization.

103434603330401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463630833 (or 463630826 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 35.

Adding to 103434603330401 its reverse (104033306434301), we get a palindrome (207467909764702).

The spelling of 103434603330401 in words is "one hundred three trillion, four hundred thirty-four billion, six hundred three million, three hundred thirty thousand, four hundred one".