105361585 has 16 divisors (see below), whose sum is σ = 145107072. Its totient is φ = 71942400.

The previous prime is 105361577. The next prime is 105361637. The reversal of 105361585 is 585163501.

It is not a de Polignac number, because 105361585 - 2³ = 105361577 is a prime.

It is a super-2 number, since 2×105361585² = 22202127187424450, 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 105361585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2190 + ... + 14680.

It is an arithmetic number, because the mean of its divisors is an integer number (9069192).

Almost surely, 2^105361585 is an apocalyptic number.

It is an amenable number.

105361585 is a deficient number, since it is larger than the sum of its proper divisors (39745487).

105361585 is a wasteful number, since it uses less digits than its factorization.

105361585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744.

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

The square root of 105361585 is about 10264.5791438324. The cubic root of 105361585 is about 472.3103164419.

It can be divided in two parts, 10536 and 1585, that added together give a palindrome (12121).

The spelling of 105361585 in words is "one hundred five million, three hundred sixty-one thousand, five hundred eighty-five".