34344606105 has 96 divisors (see below), whose sum is σ = 61302189312. Its totient is φ = 17782848000.

The previous prime is 34344606047. The next prime is 34344606113. The reversal of 34344606105 is 50160644343.

34344606105 is a `hidden beast` number, since 3 + 4 + 3 + 44 + 606 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 34344606105 - 2¹⁸ = 34344343961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34344606105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68279284 + ... + 68279786.

It is an arithmetic number, because the mean of its divisors is an integer number (638564472).

Almost surely, 2^34344606105 is an apocalyptic number.

It is an amenable number.

34344606105 is a deficient number, since it is larger than the sum of its proper divisors (26957583207).

34344606105 is a wasteful number, since it uses less digits than its factorization.

34344606105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34344606105 in words is "thirty-four billion, three hundred forty-four million, six hundred six thousand, one hundred five".