210105006 has 32 divisors (see below), whose sum is σ = 446417568. Its totient is φ = 65694720.

The previous prime is 210105001. The next prime is 210105037. The reversal of 210105006 is 600501012.

It is a super-2 number, since 2×210105006² = 88288227092520072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210105001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28636 + ... + 35216.

It is an arithmetic number, because the mean of its divisors is an integer number (13950549).

Almost surely, 2^210105006 is an apocalyptic number.

210105006 is an abundant number, since it is smaller than the sum of its proper divisors (236312562).

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

210105006 is a wasteful number, since it uses less digits than its factorization.

210105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 210105006 is about 14494.9993446016. Note that the first 3 decimals coincide. The cubic root of 210105006 is about 594.4912497949.

Adding to 210105006 its reverse (600501012), we get a palindrome (810606018).

The spelling of 210105006 in words is "two hundred ten million, one hundred five thousand, six".