806820105 has 128 divisors (see below), whose sum is σ = 1713438720. Its totient is φ = 314772480.

The previous prime is 806820089. The next prime is 806820121. The reversal of 806820105 is 501028608.

It is an interprime number because it is at equal distance from previous prime (806820089) and next prime (806820121).

It is not a de Polignac number, because 806820105 - 2⁴ = 806820089 is a prime.

It is a super-2 number, since 2×806820105² = 1301917363664422050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 972831 + ... + 973659.

It is an arithmetic number, because the mean of its divisors is an integer number (13386240).

Almost surely, 2^806820105 is an apocalyptic number.

It is an amenable number.

806820105 is an abundant number, since it is smaller than the sum of its proper divisors (906618615).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

806820105 is a wasteful number, since it uses less digits than its factorization.

806820105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 806820105 is about 28404.5789442477. The cubic root of 806820105 is about 930.9483158331.

The spelling of 806820105 in words is "eight hundred six million, eight hundred twenty thousand, one hundred five".