105136585 has 8 divisors (see below), whose sum is σ = 133585416. Its totient is φ = 79161600.

The previous prime is 105136583. The next prime is 105136607. The reversal of 105136585 is 585631501.

It can be written as a sum of positive squares in 4 ways, for example, as 48706441 + 56430144 = 6979^2 + 7512^2 .

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

It is not a de Polignac number, because 105136585 - 2¹ = 105136583 is a prime.

It is a super-2 number, since 2×105136585² = 22107403010924450, which contains 22 as substring.

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 105136585.

It is not an unprimeable number, because it can be changed into a prime (105136583) 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, 618366 + ... + 618535.

It is an arithmetic number, because the mean of its divisors is an integer number (16698177).

Almost surely, 2^105136585 is an apocalyptic number.

It is an amenable number.

105136585 is a deficient number, since it is larger than the sum of its proper divisors (28448831).

105136585 is a wasteful number, since it uses less digits than its factorization.

105136585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236923.

The product of its (nonzero) digits is 18000, while the sum is 34.

The square root of 105136585 is about 10253.6132655762. The cubic root of 105136585 is about 471.9738701062.

It can be divided in two parts, 1051 and 36585, that added together give a square (37636 = 194²).

The spelling of 105136585 in words is "one hundred five million, one hundred thirty-six thousand, five hundred eighty-five".