821011105 has 16 divisors (see below), whose sum is σ = 1037162880. Its totient is φ = 622682368.

The previous prime is 821011091. The next prime is 821011157. The reversal of 821011105 is 501110128.

It is a happy number.

821011105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 821011105 - 2⁷ = 821010977 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, 18595 + ... + 44584.

It is an arithmetic number, because the mean of its divisors is an integer number (64822680).

Almost surely, 2^821011105 is an apocalyptic number.

It is an amenable number.

821011105 is a deficient number, since it is larger than the sum of its proper divisors (216151775).

821011105 is a wasteful number, since it uses less digits than its factorization.

821011105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63320.

The product of its (nonzero) digits is 80, while the sum is 19.

The square root of 821011105 is about 28653.2913467197. The cubic root of 821011105 is about 936.3747133784.

The spelling of 821011105 in words is "eight hundred twenty-one million, eleven thousand, one hundred five".