103874564636441 has 2 divisors, whose sum is σ = 103874564636442. Its totient is φ = 103874564636440.

The previous prime is 103874564636417. The next prime is 103874564636449. The reversal of 103874564636441 is 144636465478301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93603206265625 + 10271358370816 = 9674875^2 + 3204896^2 .

It is an emirp because it is prime and its reverse (144636465478301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103874564636441 - 2¹⁰ = 103874564635417 is a prime.

It is not a weakly prime, because it can be changed into another prime (103874564636449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51937282318220 + 51937282318221.

It is an arithmetic number, because the mean of its divisors is an integer number (51937282318221).

Almost surely, 2^{103874564636441} is an apocalyptic number.

It is an amenable number.

103874564636441 is a deficient number, since it is larger than the sum of its proper divisors (1).

103874564636441 is an equidigital number, since it uses as much as digits as its factorization.

103874564636441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139345920, while the sum is 62.

The spelling of 103874564636441 in words is "one hundred three trillion, eight hundred seventy-four billion, five hundred sixty-four million, six hundred thirty-six thousand, four hundred forty-one".