105835510085605 has 8 divisors (see below), whose sum is σ = 128002632671232. Its totient is φ = 84001727689488.

The previous prime is 105835510085603. The next prime is 105835510085621. The reversal of 105835510085605 is 506580015538501.

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 105835510085605 - 2¹ = 105835510085603 is a prime.

It is a super-2 number, since 2×105835510085605² (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 (105835510085603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83335046677 + ... + 83335047946.

It is an arithmetic number, because the mean of its divisors is an integer number (16000329083904).

Almost surely, 2^{105835510085605} is an apocalyptic number.

It is an amenable number.

105835510085605 is a deficient number, since it is larger than the sum of its proper divisors (22167122585627).

105835510085605 is a wasteful number, since it uses less digits than its factorization.

105835510085605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166670094755.

The product of its (nonzero) digits is 3600000, while the sum is 52.

The spelling of 105835510085605 in words is "one hundred five trillion, eight hundred thirty-five billion, five hundred ten million, eighty-five thousand, six hundred five".