103605641011627 has 2 divisors, whose sum is σ = 103605641011628. Its totient is φ = 103605641011626.

The previous prime is 103605641011559. The next prime is 103605641011661. The reversal of 103605641011627 is 726110146506301.

It is a strong prime.

It is an emirp because it is prime and its reverse (726110146506301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103605641011627 - 2³⁹ = 103055885197739 is a prime.

It is a super-3 number, since 3×103605641011627³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (103605641011667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51802820505813 + 51802820505814.

It is an arithmetic number, because the mean of its divisors is an integer number (51802820505814).

Almost surely, 2^{103605641011627} is an apocalyptic number.

103605641011627 is a deficient number, since it is larger than the sum of its proper divisors (1).

103605641011627 is an equidigital number, since it uses as much as digits as its factorization.

103605641011627 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 43.

Adding to 103605641011627 its reverse (726110146506301), we get a palindrome (829715787517928).

The spelling of 103605641011627 in words is "one hundred three trillion, six hundred five billion, six hundred forty-one million, eleven thousand, six hundred twenty-seven".