10200085 has 48 divisors (see below), whose sum is σ = 15759360. Its totient is φ = 6289920.

The previous prime is 10200079. The next prime is 10200089. The reversal of 10200085 is 58000201.

It is a happy number.

It is not a de Polignac number, because 10200085 - 2³ = 10200077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200089) 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 47 ways as a sum of consecutive naturals, for example, 129076 + ... + 129154.

It is an arithmetic number, because the mean of its divisors is an integer number (328320).

Almost surely, 2^10200085 is an apocalyptic number.

It is an amenable number.

10200085 is a deficient number, since it is larger than the sum of its proper divisors (5559275).

10200085 is a wasteful number, since it uses less digits than its factorization.

10200085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10200085 is about 3193.7571917727. The cubic root of 10200085 is about 216.8708909408.

Adding to 10200085 its reverse (58000201), we get a palindrome (68200286).

The spelling of 10200085 in words is "ten million, two hundred thousand, eighty-five".