4002005105 has 32 divisors (see below), whose sum is σ = 5909863680. Its totient is φ = 2539008000.

The previous prime is 4002005027. The next prime is 4002005153. The reversal of 4002005105 is 5015002004.

It is not a de Polignac number, because 4002005105 - 2¹⁸ = 4001742961 is a prime.

It is a super-2 number, since 2×4002005105² = 32032089720892122050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21896 + ... + 92105.

It is an arithmetic number, because the mean of its divisors is an integer number (184683240).

Almost surely, 2^4002005105 is an apocalyptic number.

It is an amenable number.

4002005105 is a deficient number, since it is larger than the sum of its proper divisors (1907858575).

4002005105 is a wasteful number, since it uses less digits than its factorization.

4002005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114089.

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 4002005105 is about 63261.4029642088. The cubic root of 4002005105 is about 1587.6662498095. Note that the first 3 decimals are identical.

Adding to 4002005105 its reverse (5015002004), we get a palindrome (9017007109).

The spelling of 4002005105 in words is "four billion, two million, five thousand, one hundred five".