105330585 has 16 divisors (see below), whose sum is σ = 177399360. Its totient is φ = 53219520.

The previous prime is 105330583. The next prime is 105330613. The reversal of 105330585 is 585033501.

It is not a de Polignac number, because 105330585 - 2¹ = 105330583 is a prime.

It is a super-2 number, since 2×105330585² = 22189064272884450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105330583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184506 + ... + 185075.

It is an arithmetic number, because the mean of its divisors is an integer number (11087460).

Almost surely, 2^105330585 is an apocalyptic number.

105330585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105330585 is a deficient number, since it is larger than the sum of its proper divisors (72068775).

105330585 is a wasteful number, since it uses less digits than its factorization.

105330585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369608.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 105330585 is about 10263.0689854449. The cubic root of 105330585 is about 472.2639900823.

The spelling of 105330585 in words is "one hundred five million, three hundred thirty thousand, five hundred eighty-five".