105605606006 has 4 divisors (see below), whose sum is σ = 158408409012. Its totient is φ = 52802803002.

The previous prime is 105605605999. The next prime is 105605606063. The reversal of 105605606006 is 600606506501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 600606506501 = 467 ⋅1286095303.

It is a super-3 number, since 3×105605606006³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent 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 as a sum of consecutive naturals, namely, 26401401500 + ... + 26401401503.

It is an arithmetic number, because the mean of its divisors is an integer number (39602102253).

Almost surely, 2^105605606006 is an apocalyptic number.

105605606006 is a deficient number, since it is larger than the sum of its proper divisors (52802803006).

105605606006 is an equidigital number, since it uses as much as digits as its factorization.

105605606006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52802803005.

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 105605606006 in words is "one hundred five billion, six hundred five million, six hundred six thousand, six".