82358114201105 has 8 divisors (see below), whose sum is σ = 98830816789032. Its totient is φ = 65885771529088.

The previous prime is 82358114200981. The next prime is 82358114201141. The reversal of 82358114201105 is 50110241185328.

It can be written as a sum of positive squares in 4 ways, for example, as 147063046144 + 82211051154961 = 383488^2 + 9067031^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82358114201105 - 2³² = 82353819233809 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89475302 + ... + 90391071.

It is an arithmetic number, because the mean of its divisors is an integer number (12353852098629).

Almost surely, 2^{82358114201105} is an apocalyptic number.

It is an amenable number.

82358114201105 is a deficient number, since it is larger than the sum of its proper divisors (16472702587927).

82358114201105 is a wasteful number, since it uses less digits than its factorization.

82358114201105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179957955.

The product of its (nonzero) digits is 76800, while the sum is 41.

The spelling of 82358114201105 in words is "eighty-two trillion, three hundred fifty-eight billion, one hundred fourteen million, two hundred one thousand, one hundred five".