105606000600605 has 8 divisors (see below), whose sum is σ = 126745944615864. Its totient is φ = 84472304550400.

The previous prime is 105606000600599. The next prime is 105606000600623. The reversal of 105606000600605 is 506006000606501.

It can be written as a sum of positive squares in 4 ways, for example, as 23530318849636 + 82075681750969 = 4850806^2 + 9059563^2 .

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

It is not a de Polignac number, because 105606000600605 - 2⁴ = 105606000600589 is a prime.

It is a super-3 number, since 3×105606000600605³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

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, 1561954076 + ... + 1562021685.

It is an arithmetic number, because the mean of its divisors is an integer number (15843243076983).

Almost surely, 2^{105606000600605} is an apocalyptic number.

It is an amenable number.

105606000600605 is a deficient number, since it is larger than the sum of its proper divisors (21139944015259).

105606000600605 is an equidigital number, since it uses as much as digits as its factorization.

105606000600605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123982527.

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

The spelling of 105606000600605 in words is "one hundred five trillion, six hundred six billion, six hundred thousand, six hundred five".