10134585 has 32 divisors (see below), whose sum is σ = 18466560. Its totient is φ = 5270400.

The previous prime is 10134571. The next prime is 10134589. The reversal of 10134585 is 58543101.

It is not a de Polignac number, because 10134585 - 2⁴ = 10134569 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10134589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4620 + ... + 6450.

It is an arithmetic number, because the mean of its divisors is an integer number (577080).

Almost surely, 2^10134585 is an apocalyptic number.

10134585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10134585 is a deficient number, since it is larger than the sum of its proper divisors (8331975).

10134585 is a wasteful number, since it uses less digits than its factorization.

10134585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10134585 is about 3183.4862964995. The cubic root of 10134585 is about 216.4056804952.

Adding to 10134585 its reverse (58543101), we get a palindrome (68677686).

The spelling of 10134585 in words is "ten million, one hundred thirty-four thousand, five hundred eighty-five".