103627009009441 has 2 divisors, whose sum is σ = 103627009009442. Its totient is φ = 103627009009440.

The previous prime is 103627009009439. The next prime is 103627009009499. The reversal of 103627009009441 is 144900900726301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101365832163600 + 2261176845841 = 10068060^2 + 1503721^2 .

It is a cyclic number.

It is not a de Polignac number, because 103627009009441 - 2¹ = 103627009009439 is a prime.

It is a super-3 number, since 3×103627009009441³ (a number of 43 digits) contains 333 as substring.

Together with 103627009009439, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 103627009009391 and 103627009009400.

It is not a weakly prime, because it can be changed into another prime (103627009009411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51813504504720 + 51813504504721.

It is an arithmetic number, because the mean of its divisors is an integer number (51813504504721).

Almost surely, 2^{103627009009441} is an apocalyptic number.

It is an amenable number.

103627009009441 is a deficient number, since it is larger than the sum of its proper divisors (1).

103627009009441 is an equidigital number, since it uses as much as digits as its factorization.

103627009009441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 103627009009441 in words is "one hundred three trillion, six hundred twenty-seven billion, nine million, nine thousand, four hundred forty-one".