12585105 has 64 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 6048000.

The previous prime is 12585091. The next prime is 12585121. The reversal of 12585105 is 50158521.

It is not a de Polignac number, because 12585105 - 2¹⁹ = 12060817 is a prime.

It is a super-2 number, since 2×12585105² = 316769735722050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124555 + ... + 124655.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^12585105 is an apocalyptic number.

12585105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12585105 is a deficient number, since it is larger than the sum of its proper divisors (12090735).

12585105 is a wasteful number, since it uses less digits than its factorization.

12585105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 12585105 is about 3547.5491539935. The cubic root of 12585105 is about 232.6049474181.

The spelling of 12585105 in words is "twelve million, five hundred eighty-five thousand, one hundred five".