4005105006 has 16 divisors (see below), whose sum is σ = 9154525824. Its totient is φ = 1144315704.

The previous prime is 4005104989. The next prime is 4005105061. The reversal of 4005105006 is 6005015004.

It is a happy number.

It is a super-2 number, since 2×4005105006² = 32081732218172520072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47679780 + ... + 47679863.

It is an arithmetic number, because the mean of its divisors is an integer number (572157864).

Almost surely, 2^4005105006 is an apocalyptic number.

4005105006 is an abundant number, since it is smaller than the sum of its proper divisors (5149420818).

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

4005105006 is a wasteful number, since it uses less digits than its factorization.

4005105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95359655.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 4005105006 is about 63285.8989507141. The cubic root of 4005105006 is about 1588.0760725421.

The spelling of 4005105006 in words is "four billion, five million, one hundred five thousand, six".