108185014296577 has 2 divisors, whose sum is σ = 108185014296578. Its totient is φ = 108185014296576.

The previous prime is 108185014296553. The next prime is 108185014296599. The reversal of 108185014296577 is 775692410581801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56049119667216 + 52135894629361 = 7486596^2 + 7220519^2 .

It is a cyclic number.

It is not a de Polignac number, because 108185014296577 - 2⁷ = 108185014296449 is a prime.

It is a super-2 number, since 2×108185014296577² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (108185014296547) 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, 54092507148288 + 54092507148289.

It is an arithmetic number, because the mean of its divisors is an integer number (54092507148289).

Almost surely, 2^{108185014296577} is an apocalyptic number.

It is an amenable number.

108185014296577 is a deficient number, since it is larger than the sum of its proper divisors (1).

108185014296577 is an equidigital number, since it uses as much as digits as its factorization.

108185014296577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33868800, while the sum is 64.

The spelling of 108185014296577 in words is "one hundred eight trillion, one hundred eighty-five billion, fourteen million, two hundred ninety-six thousand, five hundred seventy-seven".