330105006 has 48 divisors (see below), whose sum is σ = 891715968. Its totient is φ = 85741200.

The previous prime is 330105001. The next prime is 330105007. The reversal of 330105006 is 600501033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 330105006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330105001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117700 + ... + 120471.

It is an arithmetic number, because the mean of its divisors is an integer number (18577416).

Almost surely, 2^330105006 is an apocalyptic number.

330105006 is an abundant number, since it is smaller than the sum of its proper divisors (561610962).

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

330105006 is a wasteful number, since it uses less digits than its factorization.

330105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238197 (or 238194 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 330105006 is about 18168.7920897345. The cubic root of 330105006 is about 691.1156117839.

Adding to 330105006 its reverse (600501033), we get a palindrome (930606039).

The spelling of 330105006 in words is "three hundred thirty million, one hundred five thousand, six".