68105 has 8 divisors (see below), whose sum is σ = 83592. Its totient is φ = 53248.

The previous prime is 68099. The next prime is 68111. The reversal of 68105 is 50186.

It is an interprime number because it is at equal distance from previous prime (68099) and next prime (68111).

It can be written as a sum of positive squares in 4 ways, for example, as 32761 + 35344 = 181^2 + 188^2 .

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 68105 - 2⁶ = 68041 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (10449).

2⁶⁸¹⁰⁵ is an apocalyptic number.

It is an amenable number.

68105 is a deficient number, since it is larger than the sum of its proper divisors (15487).

68105 is a wasteful number, since it uses less digits than its factorization.

68105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 68105 is about 260.9693468590. The cubic root of 68105 is about 40.8375487341.

It can be divided in two parts, 68 and 105, that multiplied together give a triangular number (7140 = T₁₁₉).

The spelling of 68105 in words is "sixty-eight thousand, one hundred five".