821234106 has 64 divisors (see below), whose sum is σ = 2275292160. Its totient is φ = 213306480.

The previous prime is 821234083. The next prime is 821234111. The reversal of 821234106 is 601432128.

821234106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 821234106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94596 + ... + 102911.

It is an arithmetic number, because the mean of its divisors is an integer number (35551440).

Almost surely, 2^821234106 is an apocalyptic number.

821234106 is an abundant number, since it is smaller than the sum of its proper divisors (1454058054).

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

821234106 is a wasteful number, since it uses less digits than its factorization.

821234106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197536 (or 197530 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 821234106 is about 28657.1824504783. The cubic root of 821234106 is about 936.4594842961.

The spelling of 821234106 in words is "eight hundred twenty-one million, two hundred thirty-four thousand, one hundred six".