105605506106 has 8 divisors (see below), whose sum is σ = 158411201364. Its totient is φ = 52801772320.

The previous prime is 105605506103. The next prime is 105605506117. The reversal of 105605506106 is 601605506501.

It can be written as a sum of positive squares in 2 ways, for example, as 105132226081 + 473280025 = 324241^2 + 21755^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×105605506106³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105605506103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 347435 + ... + 576126.

Almost surely, 2^105605506106 is an apocalyptic number.

105605506106 is a deficient number, since it is larger than the sum of its proper divisors (52805695258).

105605506106 is an equidigital number, since it uses as much as digits as its factorization.

105605506106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980736.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 105605506106 in words is "one hundred five billion, six hundred five million, five hundred six thousand, one hundred six".