10185305 has 16 divisors (see below), whose sum is σ = 13353984. Its totient is φ = 7412160.

The previous prime is 10185299. The next prime is 10185319. The reversal of 10185305 is 50358101.

It is not a de Polignac number, because 10185305 - 2⁴ = 10185289 is a prime.

It is a Duffinian number.

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, 3512 + ... + 5718.

It is an arithmetic number, because the mean of its divisors is an integer number (834624).

Almost surely, 2^10185305 is an apocalyptic number.

It is an amenable number.

10185305 is a deficient number, since it is larger than the sum of its proper divisors (3168679).

10185305 is a wasteful number, since it uses less digits than its factorization.

10185305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 10185305 is about 3191.4424638398. The cubic root of 10185305 is about 216.7660911211.

The spelling of 10185305 in words is "ten million, one hundred eighty-five thousand, three hundred five".