105804807210 has 48 divisors (see below), whose sum is σ = 275495429664. Its totient is φ = 28173289056.

The previous prime is 105804807139. The next prime is 105804807211. The reversal of 105804807210 is 12708408501.

105804807210 is a `hidden beast` number, since 1 + 0 + 580 + 4 + 8 + 0 + 72 + 1 + 0 = 666.

It is a super-2 number, since 2×105804807210² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105804807211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 799152 + ... + 922091.

It is an arithmetic number, because the mean of its divisors is an integer number (5739488118).

Almost surely, 2^105804807210 is an apocalyptic number.

105804807210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105804807210 is an abundant number, since it is smaller than the sum of its proper divisors (169690622454).

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

105804807210 is a wasteful number, since it uses less digits than its factorization.

105804807210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721939 (or 1721936 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 105804807210 in words is "one hundred five billion, eight hundred four million, eight hundred seven thousand, two hundred ten".