105005605005 has 48 divisors (see below), whose sum is σ = 208316085120. Its totient is φ = 47932182144.

The previous prime is 105005604983. The next prime is 105005605009. The reversal of 105005605005 is 500506500501.

105005605005 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 5 + 605 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 105005605005 - 2¹⁰ = 105005603981 is a prime.

It is a super-2 number, since 2×105005605005² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105005605005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005605009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28890 + ... + 459179.

It is an arithmetic number, because the mean of its divisors is an integer number (4339918440).

Almost surely, 2^105005605005 is an apocalyptic number.

105005605005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105005605005 is a deficient number, since it is larger than the sum of its proper divisors (103310480115).

105005605005 is a wasteful number, since it uses less digits than its factorization.

105005605005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488770 (or 488767 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 105005605005 in words is "one hundred five billion, five million, six hundred five thousand, five".