10205073 has 6 divisors (see below), whose sum is σ = 14740674. Its totient is φ = 6803376.

The previous prime is 10205051. The next prime is 10205087. The reversal of 10205073 is 37050201.

It can be written as a sum of positive squares in only one way, i.e., 8225424 + 1979649 = 2868^2 + 1407^2 .

It is not a de Polignac number, because 10205073 - 2⁶ = 10205009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10205093) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 566940 + ... + 566957.

It is an arithmetic number, because the mean of its divisors is an integer number (2456779).

Almost surely, 2^10205073 is an apocalyptic number.

It is an amenable number.

10205073 is a deficient number, since it is larger than the sum of its proper divisors (4535601).

10205073 is a wasteful number, since it uses less digits than its factorization.

10205073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133903 (or 1133900 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10205073 is about 3194.5379947654. The cubic root of 10205073 is about 216.9062362581.

Adding to 10205073 its reverse (37050201), we get a palindrome (47255274).

The spelling of 10205073 in words is "ten million, two hundred five thousand, seventy-three".