105106000505 has 32 divisors (see below), whose sum is σ = 145023644160. Its totient is φ = 72412238080.

The previous prime is 105106000477. The next prime is 105106000513. The reversal of 105106000505 is 505000601501.

It is not a de Polignac number, because 105106000505 - 2¹⁴ = 105105984121 is a prime.

It is a super-2 number, since 2×105106000505² (a number of 23 digits) contains 22 as substring.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 537137 + ... + 706206.

It is an arithmetic number, because the mean of its divisors is an integer number (4531988880).

Almost surely, 2^105106000505 is an apocalyptic number.

It is an amenable number.

105106000505 is a deficient number, since it is larger than the sum of its proper divisors (39917643655).

105106000505 is a wasteful number, since it uses less digits than its factorization.

105106000505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243441.

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 105106000505 in words is "one hundred five billion, one hundred six million, five hundred five", and thus it is an aban number.