10185273 has 48 divisors (see below), whose sum is σ = 18104320. Its totient is φ = 5388768.

The previous prime is 10185271. The next prime is 10185283. The reversal of 10185273 is 37258101.

It is not a de Polignac number, because 10185273 - 2¹ = 10185271 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10185271) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 80136 + ... + 80262.

Almost surely, 2^10185273 is an apocalyptic number.

It is an amenable number.

10185273 is a deficient number, since it is larger than the sum of its proper divisors (7919047).

10185273 is a wasteful number, since it uses less digits than its factorization.

10185273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10185273 is about 3191.4374504289. The cubic root of 10185273 is about 216.7658641103.

The spelling of 10185273 in words is "ten million, one hundred eighty-five thousand, two hundred seventy-three".