10085201 has 16 divisors (see below), whose sum is σ = 12359424. Its totient is φ = 8040384.

The previous prime is 10085189. The next prime is 10085203. The reversal of 10085201 is 10258001.

10085201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10085201 is a prime.

It is a super-2 number, since 2×10085201² = 203422558420802, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10085201.

It is not an unprimeable number, because it can be changed into a prime (10085203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5111 + ... + 6803.

It is an arithmetic number, because the mean of its divisors is an integer number (772464).

Almost surely, 2^10085201 is an apocalyptic number.

It is an amenable number.

10085201 is a deficient number, since it is larger than the sum of its proper divisors (2274223).

10085201 is a wasteful number, since it uses less digits than its factorization.

10085201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 10085201 is about 3175.7205481591. The cubic root of 10085201 is about 216.0536060939.

The spelling of 10085201 in words is "ten million, eighty-five thousand, two hundred one".