34105 has 8 divisors (see below), whose sum is σ = 43200. Its totient is φ = 25776.

The previous prime is 34061. The next prime is 34123. The reversal of 34105 is 50143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34105 - 2¹¹ = 32057 is a prime.

It is an alternating number because its digits alternate between odd and even.

34105 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2³⁴¹⁰⁵ is an apocalyptic number.

It is an amenable number.

34105 is a deficient number, since it is larger than the sum of its proper divisors (9095).

34105 is a wasteful number, since it uses less digits than its factorization.

34105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 34105 is about 184.6753908890. The cubic root of 34105 is about 32.4294326868.

Adding to 34105 its reverse (50143), we get a palindrome (84248).

It can be divided in two parts, 34 and 105, that multiplied together give a triangular number (3570 = T₈₄).

The spelling of 34105 in words is "thirty-four thousand, one hundred five".