105605005006 has 16 divisors (see below), whose sum is σ = 167739517440. Its totient is φ = 49692348160.

The previous prime is 105605004997. The next prime is 105605005019. The reversal of 105605005006 is 600500506501.

It is a super-2 number, since 2×105605005006² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308250 + ... + 553378.

It is an arithmetic number, because the mean of its divisors is an integer number (10483719840).

Almost surely, 2^105605005006 is an apocalyptic number.

105605005006 is a deficient number, since it is larger than the sum of its proper divisors (62134512434).

105605005006 is a wasteful number, since it uses less digits than its factorization.

105605005006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257819.

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 105605005006 in words is "one hundred five billion, six hundred five million, five thousand, six".