106000105505 has 16 divisors (see below), whose sum is σ = 145783407744. Its totient is φ = 72479869440.

The previous prime is 106000105489. The next prime is 106000105513. The reversal of 106000105505 is 505501000601.

It is not a de Polignac number, because 106000105505 - 2⁴ = 106000105489 is a prime.

It is a super-2 number, since 2×106000105505² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4277411 + ... + 4302120.

It is an arithmetic number, because the mean of its divisors is an integer number (9111462984).

Almost surely, 2^106000105505 is an apocalyptic number.

It is an amenable number.

106000105505 is a deficient number, since it is larger than the sum of its proper divisors (39783302239).

106000105505 is an equidigital number, since it uses as much as digits as its factorization.

106000105505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579896.

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

The spelling of 106000105505 in words is "one hundred six billion, one hundred five thousand, five hundred five".