103763559873601 has 16 divisors (see below), whose sum is σ = 106686275547600. Its totient is φ = 100881041817600.

The previous prime is 103763559873539. The next prime is 103763559873613. The reversal of 103763559873601 is 106378955367301.

It is a Cunningham number, because it is equal to 10186440²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 673023344400 + 103090536529201 = 820380^2 + 10153351^2 .

It is a cyclic number.

It is not a de Polignac number, because 103763559873601 - 2¹⁵ = 103763559840833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103763559873691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12507841 + ... + 19078081.

It is an arithmetic number, because the mean of its divisors is an integer number (6667892221725).

Almost surely, 2^{103763559873601} is an apocalyptic number.

It is an amenable number.

103763559873601 is a deficient number, since it is larger than the sum of its proper divisors (2922715673999).

103763559873601 is an equidigital number, since it uses as much as digits as its factorization.

103763559873601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6573300.

The product of its (nonzero) digits is 85730400, while the sum is 64.

The spelling of 103763559873601 in words is "one hundred three trillion, seven hundred sixty-three billion, five hundred fifty-nine million, eight hundred seventy-three thousand, six hundred one".