34005105 has 24 divisors (see below), whose sum is σ = 59080320. Its totient is φ = 18093600.

The previous prime is 34005077. The next prime is 34005137. The reversal of 34005105 is 50150043.

It is not a de Polignac number, because 34005105 - 2⁵ = 34005073 is a prime.

It is a super-2 number, since 2×34005105² = 2312694332122050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31830 + ... + 32880.

It is an arithmetic number, because the mean of its divisors is an integer number (2461680).

Almost surely, 2^34005105 is an apocalyptic number.

It is an amenable number.

34005105 is a deficient number, since it is larger than the sum of its proper divisors (25075215).

34005105 is a wasteful number, since it uses less digits than its factorization.

34005105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 34005105 is about 5831.3896285534. The cubic root of 34005105 is about 323.9773932558.

Adding to 34005105 its reverse (50150043), we get a palindrome (84155148).

The spelling of 34005105 in words is "thirty-four million, five thousand, one hundred five".