4105006304 has 48 divisors (see below), whose sum is σ = 9240594048. Its totient is φ = 1758463872.

The previous prime is 4105006291. The next prime is 4105006331. The reversal of 4105006304 is 4036005014.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4105006304.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 881807 + ... + 886449.

It is an arithmetic number, because the mean of its divisors is an integer number (192512376).

Almost surely, 2^4105006304 is an apocalyptic number.

It is an amenable number.

4105006304 is an abundant number, since it is smaller than the sum of its proper divisors (5135587744).

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

4105006304 is a wasteful number, since it uses less digits than its factorization.

4105006304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8607 (or 8599 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 4105006304 is about 64070.3231145278. The cubic root of 4105006304 is about 1601.1718373720.

The spelling of 4105006304 in words is "four billion, one hundred five million, six thousand, three hundred four".