105605050105607 has 8 divisors (see below), whose sum is σ = 113795691254784. Its totient is φ = 97424005493088.

The previous prime is 105605050105603. The next prime is 105605050105721. The reversal of 105605050105607 is 706501050506501.

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

It is a cyclic number.

It is not a de Polignac number, because 105605050105607 - 2² = 105605050105603 is a prime.

It is a super-2 number, since 2×105605050105607² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605050105603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2399111303 + ... + 2399155320.

It is an arithmetic number, because the mean of its divisors is an integer number (14224461406848).

Almost surely, 2^{105605050105607} is an apocalyptic number.

105605050105607 is a deficient number, since it is larger than the sum of its proper divisors (8190641149177).

105605050105607 is a wasteful number, since it uses less digits than its factorization.

105605050105607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798268329.

The product of its (nonzero) digits is 157500, while the sum is 41.

The spelling of 105605050105607 in words is "one hundred five trillion, six hundred five billion, fifty million, one hundred five thousand, six hundred seven".