10185129 has 16 divisors (see below), whose sum is σ = 15163200. Its totient is φ = 6756768.

The previous prime is 10185127. The next prime is 10185137. The reversal of 10185129 is 92158101.

It is not a de Polignac number, because 10185129 - 2¹ = 10185127 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 (10185127) 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 15 ways as a sum of consecutive naturals, for example, 5482 + ... + 7100.

It is an arithmetic number, because the mean of its divisors is an integer number (947700).

Almost surely, 2^10185129 is an apocalyptic number.

It is an amenable number.

10185129 is a deficient number, since it is larger than the sum of its proper divisors (4978071).

10185129 is a wasteful number, since it uses less digits than its factorization.

10185129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 10185129 is about 3191.4148899822. The cubic root of 10185129 is about 216.7648425559.

The spelling of 10185129 in words is "ten million, one hundred eighty-five thousand, one hundred twenty-nine".