10205071 has 8 divisors (see below), whose sum is σ = 11113200. Its totient is φ = 9334080.

The previous prime is 10205051. The next prime is 10205087. The reversal of 10205071 is 17050201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10205071 - 2⁹ = 10204559 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8710 + ... + 9811.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 2^10205071 is an apocalyptic number.

10205071 is a deficient number, since it is larger than the sum of its proper divisors (908129).

10205071 is a wasteful number, since it uses less digits than its factorization.

10205071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18569.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 10205071 is about 3194.5376817311. The cubic root of 10205071 is about 216.9062220882.

Adding to 10205071 its reverse (17050201), we get a palindrome (27255272).

The spelling of 10205071 in words is "ten million, two hundred five thousand, seventy-one".