105123344105 has 16 divisors (see below), whose sum is σ = 138154282560. Its totient is φ = 76313788608.

The previous prime is 105123344069. The next prime is 105123344113. The reversal of 105123344105 is 501443321501.

It is a cyclic number.

It is not a de Polignac number, because 105123344105 - 2¹⁴ = 105123327721 is a prime.

It is a super-3 number, since 3×105123344105³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13701947 + ... + 13709616.

It is an arithmetic number, because the mean of its divisors is an integer number (8634642660).

Almost surely, 2^105123344105 is an apocalyptic number.

It is an amenable number.

105123344105 is a deficient number, since it is larger than the sum of its proper divisors (33030938455).

105123344105 is a wasteful number, since it uses less digits than its factorization.

105123344105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27411640.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 105123344105 its reverse (501443321501), we get a palindrome (606566665606).

The spelling of 105123344105 in words is "one hundred five billion, one hundred twenty-three million, three hundred forty-four thousand, one hundred five".