105608410585 has 8 divisors (see below), whose sum is σ = 126771784776. Its totient is φ = 84458933760.

The previous prime is 105608410519. The next prime is 105608410673. The reversal of 105608410585 is 585014806501.

It can be written as a sum of positive squares in 4 ways, for example, as 39832575561 + 65775835024 = 199581^2 + 256468^2 .

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

It is not a de Polignac number, because 105608410585 - 2¹¹ = 105608408537 is a prime.

It is a super-2 number, since 2×105608410585² (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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, 3457614 + ... + 3488023.

It is an arithmetic number, because the mean of its divisors is an integer number (15846473097).

Almost surely, 2^105608410585 is an apocalyptic number.

It is an amenable number.

105608410585 is a deficient number, since it is larger than the sum of its proper divisors (21163374191).

105608410585 is an equidigital number, since it uses as much as digits as its factorization.

105608410585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948683.

The product of its (nonzero) digits is 192000, while the sum is 43.

The spelling of 105608410585 in words is "one hundred five billion, six hundred eight million, four hundred ten thousand, five hundred eighty-five".