208006105 has 8 divisors (see below), whose sum is σ = 250987464. Its totient is φ = 165484800.

The previous prime is 208006069. The next prime is 208006147. The reversal of 208006105 is 501600802.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22174681 + 185831424 = 4709^2 + 13632^2 .

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

It is not a de Polignac number, because 208006105 - 2¹¹ = 208004057 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114016 + ... + 115825.

It is an arithmetic number, because the mean of its divisors is an integer number (31373433).

Almost surely, 2^208006105 is an apocalyptic number.

It is an amenable number.

208006105 is a deficient number, since it is larger than the sum of its proper divisors (42981359).

208006105 is a wasteful number, since it uses less digits than its factorization.

208006105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230027.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 208006105 is about 14422.4167530965. The cubic root of 208006105 is about 592.5050104320.

Adding to 208006105 its reverse (501600802), we get a palindrome (709606907).

The spelling of 208006105 in words is "two hundred eight million, six thousand, one hundred five".