83121348656105 has 8 divisors (see below), whose sum is σ = 100262435064072. Its totient is φ = 66152534473728.

The previous prime is 83121348656069. The next prime is 83121348656111. The reversal of 83121348656105 is 50165684312138.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10205136924304 + 72916211731801 = 3194548^2 + 8539099^2 .

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 83121348656105 - 2²² = 83121344461801 is a prime.

It is a super-3 number, since 3×83121348656105³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43068055334 + ... + 43068057263.

It is an arithmetic number, because the mean of its divisors is an integer number (12532804383009).

Almost surely, 2^{83121348656105} is an apocalyptic number.

It is an amenable number.

83121348656105 is a deficient number, since it is larger than the sum of its proper divisors (17141086407967).

83121348656105 is a wasteful number, since it uses less digits than its factorization.

83121348656105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86136112795.

The product of its (nonzero) digits is 4147200, while the sum is 53.

The spelling of 83121348656105 in words is "eighty-three trillion, one hundred twenty-one billion, three hundred forty-eight million, six hundred fifty-six thousand, one hundred five".