10820084010 has 32 divisors (see below), whose sum is σ = 27495744192. Its totient is φ = 2715628800.

The previous prime is 10820083999. The next prime is 10820084059. The reversal of 10820084010 is 1048002801.

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, 10607416 + ... + 10608435.

It is an arithmetic number, because the mean of its divisors is an integer number (859242006).

Almost surely, 2^10820084010 is an apocalyptic number.

10820084010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10820084010 is an abundant number, since it is smaller than the sum of its proper divisors (16675660182).

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

10820084010 is a wasteful number, since it uses less digits than its factorization.

10820084010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21215878.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 10820084010 its reverse (1048002801), we get a palindrome (11868086811).

The spelling of 10820084010 in words is "ten billion, eight hundred twenty million, eighty-four thousand, ten".