10187085 has 16 divisors (see below), whose sum is σ = 16344000. Its totient is φ = 5418240.

The previous prime is 10187083. The next prime is 10187101. The reversal of 10187085 is 58078101.

It is not a de Polignac number, because 10187085 - 2¹ = 10187083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187081) 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, 6805 + ... + 8165.

It is an arithmetic number, because the mean of its divisors is an integer number (1021500).

Almost surely, 2^10187085 is an apocalyptic number.

10187085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10187085 is a deficient number, since it is larger than the sum of its proper divisors (6156915).

10187085 is a wasteful number, since it uses less digits than its factorization.

10187085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868.

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 10187085 is about 3191.7213224215. The cubic root of 10187085 is about 216.7787178471.

The spelling of 10187085 in words is "ten million, one hundred eighty-seven thousand, eighty-five".