34438100105 has 32 divisors (see below), whose sum is σ = 43215482880. Its totient is φ = 26314928640.

The previous prime is 34438100093. The next prime is 34438100111. The reversal of 34438100105 is 50100183443.

It is not a de Polignac number, because 34438100105 - 2⁴ = 34438100089 is a prime.

It is a super-2 number, since 2×34438100105² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9006224 + ... + 9010046.

It is an arithmetic number, because the mean of its divisors is an integer number (1350483840).

Almost surely, 2^34438100105 is an apocalyptic number.

It is an amenable number.

34438100105 is a deficient number, since it is larger than the sum of its proper divisors (8777382775).

34438100105 is a wasteful number, since it uses less digits than its factorization.

34438100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 34438100105 its reverse (50100183443), we get a palindrome (84538283548).

The spelling of 34438100105 in words is "thirty-four billion, four hundred thirty-eight million, one hundred thousand, one hundred five".