105106005556105 has 8 divisors (see below), whose sum is σ = 126617974009992. Its totient is φ = 83757626216448.

The previous prime is 105106005556031. The next prime is 105106005556117. The reversal of 105106005556105 is 501655500601501.

It can be written as a sum of positive squares in 4 ways, for example, as 45616299872256 + 59489705683849 = 6753984^2 + 7712957^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105106005556105 - 2⁷ = 105106005555977 is a prime.

It is a super-2 number, since 2×105106005556105² (a number of 29 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 (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40897277142 + ... + 40897279711.

It is an arithmetic number, because the mean of its divisors is an integer number (15827246751249).

Almost surely, 2^{105106005556105} is an apocalyptic number.

It is an amenable number.

105106005556105 is a deficient number, since it is larger than the sum of its proper divisors (21511968453887).

105106005556105 is an equidigital number, since it uses as much as digits as its factorization.

105106005556105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81794557115.

The product of its (nonzero) digits is 112500, while the sum is 40.

The spelling of 105106005556105 in words is "one hundred five trillion, one hundred six billion, five million, five hundred fifty-six thousand, one hundred five".