820606105 has 16 divisors (see below), whose sum is σ = 1130788800. Its totient is φ = 565392960.

The previous prime is 820606093. The next prime is 820606117. The reversal of 820606105 is 501606028.

820606105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (820606093) and next prime (820606117).

It is not a de Polignac number, because 820606105 - 2¹⁹ = 820081817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391590 + ... + 393679.

It is an arithmetic number, because the mean of its divisors is an integer number (70674300).

Almost surely, 2^820606105 is an apocalyptic number.

It is an amenable number.

820606105 is a deficient number, since it is larger than the sum of its proper divisors (310182695).

820606105 is a wasteful number, since it uses less digits than its factorization.

820606105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785304.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 820606105 is about 28646.2232240133. The cubic root of 820606105 is about 936.2207186551.

The spelling of 820606105 in words is "eight hundred twenty million, six hundred six thousand, one hundred five".