4002204105 has 24 divisors (see below), whose sum is σ = 7068047688. Its totient is φ = 2094233856.

The previous prime is 4002204097. The next prime is 4002204109. The reversal of 4002204105 is 5014022004.

4002204105 is a `hidden beast` number, since 400 + 220 + 41 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 3599640009 = 20064^2 + 59997^2 .

It is not a de Polignac number, because 4002204105 - 2³ = 4002204097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4002204109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 836652 + ... + 841421.

It is an arithmetic number, because the mean of its divisors is an integer number (294501987).

Almost surely, 2^4002204105 is an apocalyptic number.

4002204105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4002204105 is a deficient number, since it is larger than the sum of its proper divisors (3065843583).

4002204105 is a wasteful number, since it uses less digits than its factorization.

4002204105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678137 (or 1678134 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4002204105 is about 63262.9757836288. The cubic root of 4002204105 is about 1587.6925649806.

Adding to 4002204105 its reverse (5014022004), we get a palindrome (9016226109).

The spelling of 4002204105 in words is "four billion, two million, two hundred four thousand, one hundred five".