34386800105 has 16 divisors (see below), whose sum is σ = 47165124864. Its totient is φ = 23576477760.

The previous prime is 34386800093. The next prime is 34386800137. The reversal of 34386800105 is 50100868343.

It is not a de Polignac number, because 34386800105 - 2³⁰ = 33313058281 is a prime.

It is a super-2 number, since 2×34386800105² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231020 + ... + 349490.

It is an arithmetic number, because the mean of its divisors is an integer number (2947820304).

Almost surely, 2^34386800105 is an apocalyptic number.

34386800105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34386800105 is a deficient number, since it is larger than the sum of its proper divisors (12778324759).

34386800105 is a wasteful number, since it uses less digits than its factorization.

34386800105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126776.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 34386800105 in words is "thirty-four billion, three hundred eighty-six million, eight hundred thousand, one hundred five".