105605010505 has 16 divisors (see below), whose sum is σ = 127952167104. Its totient is φ = 83667088960.

The previous prime is 105605010487. The next prime is 105605010559. The reversal of 105605010505 is 505010506501.

It is not a de Polignac number, because 105605010505 - 2⁵ = 105605010473 is a prime.

It is a super-2 number, since 2×105605010505² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692594 + ... + 1753876.

It is an arithmetic number, because the mean of its divisors is an integer number (7997010444).

Almost surely, 2^105605010505 is an apocalyptic number.

It is an amenable number.

105605010505 is a deficient number, since it is larger than the sum of its proper divisors (22347156599).

105605010505 is a wasteful number, since it uses less digits than its factorization.

105605010505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64616.

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 105605010505 in words is "one hundred five billion, six hundred five million, ten thousand, five hundred five".