67106 has 16 divisors (see below), whose sum is σ = 113400. Its totient is φ = 29568.

The previous prime is 67103. The next prime is 67121. The reversal of 67106 is 60176.

67106 = 3⁶ + 4⁶ + ... + 6⁶.

It can be written as a sum of positive squares in 4 ways, for example, as 36481 + 30625 = 191^2 + 175^2 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67103) by changing a digit.

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, 710 + ... + 798.

2⁶⁷¹⁰⁶ is an apocalyptic number.

67106 is a deficient number, since it is larger than the sum of its proper divisors (46294).

67106 is a wasteful number, since it uses less digits than its factorization.

67106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 67106 is about 259.0482580524. The cubic root of 67106 is about 40.6368888281.

The spelling of 67106 in words is "sixty-seven thousand, one hundred six".