104966965693 has 2 divisors, whose sum is σ = 104966965694. Its totient is φ = 104966965692.

The previous prime is 104966965687. The next prime is 104966965757. The reversal of 104966965693 is 396569669401.

It is an a-pointer prime, because the next prime (104966965757) can be obtained adding 104966965693 to its sum of digits (64).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79103250009 + 25863715684 = 281253^2 + 160822^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-104966965693 is a prime.

It is a super-2 number, since 2×104966965693² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104966965633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52483482846 + 52483482847.

It is an arithmetic number, because the mean of its divisors is an integer number (52483482847).

Almost surely, 2^104966965693 is an apocalyptic number.

It is an amenable number.

104966965693 is a deficient number, since it is larger than the sum of its proper divisors (1).

104966965693 is an equidigital number, since it uses as much as digits as its factorization.

104966965693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56687040, while the sum is 64.

The spelling of 104966965693 in words is "one hundred four billion, nine hundred sixty-six million, nine hundred sixty-five thousand, six hundred ninety-three".