34105905 has 12 divisors (see below), whose sum is σ = 59116980. Its totient is φ = 18189792.

The previous prime is 34105901. The next prime is 34105913. The reversal of 34105905 is 50950143.

It can be written as a sum of positive squares in 2 ways, for example, as 16941456 + 17164449 = 4116^2 + 4143^2 .

It is not a de Polignac number, because 34105905 - 2² = 34105901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 378910 + ... + 378999.

It is an arithmetic number, because the mean of its divisors is an integer number (4926415).

Almost surely, 2^34105905 is an apocalyptic number.

It is an amenable number.

34105905 is a deficient number, since it is larger than the sum of its proper divisors (25011075).

34105905 is a wasteful number, since it uses less digits than its factorization.

34105905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757920 (or 757917 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 34105905 is about 5840.0261129553. The cubic root of 34105905 is about 324.2971953012.

The spelling of 34105905 in words is "thirty-four million, one hundred five thousand, nine hundred five".