34534106505 has 24 divisors (see below), whose sum is σ = 59891155272. Its totient is φ = 18408332544.

The previous prime is 34534106491. The next prime is 34534106543. The reversal of 34534106505 is 50560143543.

34534106505 is a `hidden beast` number, since 3 + 45 + 3 + 4 + 106 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1501407504 + 33032699001 = 38748^2 + 181749^2 .

It is not a de Polignac number, because 34534106505 - 2⁹ = 34534105993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34534106505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119964 + ... + 288893.

It is an arithmetic number, because the mean of its divisors is an integer number (2495464803).

Almost surely, 2^34534106505 is an apocalyptic number.

It is an amenable number.

34534106505 is a deficient number, since it is larger than the sum of its proper divisors (25357048767).

34534106505 is a wasteful number, since it uses less digits than its factorization.

34534106505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410745 (or 410742 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 34534106505 in words is "thirty-four billion, five hundred thirty-four million, one hundred six thousand, five hundred five".