4000105 has 12 divisors (see below), whose sum is σ = 4902732. Its totient is φ = 3132800.

The previous prime is 4000093. The next prime is 4000133. The reversal of 4000105 is 5010004.

4000105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 47961 + 3952144 = 219^2 + 1988^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4000105 is a prime.

It is a super-2 number, since 2×4000105² = 32001680022050, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4000091 and 4000100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39555 + ... + 39655.

It is an arithmetic number, because the mean of its divisors is an integer number (408561).

Almost surely, 2^4000105 is an apocalyptic number.

It is an amenable number.

4000105 is a deficient number, since it is larger than the sum of its proper divisors (902627).

4000105 is an equidigital number, since it uses as much as digits as its factorization.

4000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 4000105 is about 2000.0262498277. The cubic root of 4000105 is about 158.7414941606.

Adding to 4000105 its reverse (5010004), we get a palindrome (9010109).

The spelling of 4000105 in words is "four million, one hundred five", and thus it is an aban number.