10205037673 has 4 divisors (see below), whose sum is σ = 10480849540. Its totient is φ = 9929225808.

The previous prime is 10205037649. The next prime is 10205037743. The reversal of 10205037673 is 37673050201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9356305984 + 848731689 = 96728^2 + 29133^2 .

It is a cyclic number.

It is not a de Polignac number, because 10205037673 - 2³³ = 1615103081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10205037173) 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 3 ways as a sum of consecutive naturals, for example, 137905878 + ... + 137905951.

It is an arithmetic number, because the mean of its divisors is an integer number (2620212385).

Almost surely, 2^10205037673 is an apocalyptic number.

It is an amenable number.

10205037673 is a deficient number, since it is larger than the sum of its proper divisors (275811867).

10205037673 is an equidigital number, since it uses as much as digits as its factorization.

10205037673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275811866.

The product of its (nonzero) digits is 26460, while the sum is 34.

Adding to 10205037673 its reverse (37673050201), we get a palindrome (47878087874).

The spelling of 10205037673 in words is "ten billion, two hundred five million, thirty-seven thousand, six hundred seventy-three".