105005110505 has 16 divisors (see below), whose sum is σ = 126947218944. Its totient is φ = 83378937600.

The previous prime is 105005110487. The next prime is 105005110517. The reversal of 105005110505 is 505011500501.

It is a happy number.

It is not a de Polignac number, because 105005110505 - 2²² = 105000916201 is a prime.

It is a super-2 number, since 2×105005110505² (a number of 23 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236030 + ... + 515480.

It is an arithmetic number, because the mean of its divisors is an integer number (7934201184).

Almost surely, 2^105005110505 is an apocalyptic number.

It is an amenable number.

105005110505 is a deficient number, since it is larger than the sum of its proper divisors (21942108439).

105005110505 is a wasteful number, since it uses less digits than its factorization.

105005110505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280016.

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 105005110505 in words is "one hundred five billion, five million, one hundred ten thousand, five hundred five".