1006606105 has 8 divisors (see below), whose sum is σ = 1208361672. Its totient is φ = 804995328.

The previous prime is 1006606093. The next prime is 1006606141. The reversal of 1006606105 is 5016066001.

It can be written as a sum of positive squares in 4 ways, for example, as 171164889 + 835441216 = 13083^2 + 28904^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006606105 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006606105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20262 + ... + 49231.

It is an arithmetic number, because the mean of its divisors is an integer number (151045209).

Almost surely, 2^1006606105 is an apocalyptic number.

It is an amenable number.

1006606105 is a deficient number, since it is larger than the sum of its proper divisors (201755567).

1006606105 is an equidigital number, since it uses as much as digits as its factorization.

1006606105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72395.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1006606105 is about 31727.0563557352. The cubic root of 1006606105 is about 1002.1972037598.

The spelling of 1006606105 in words is "one billion, six million, six hundred six thousand, one hundred five".