10605564973 has 8 divisors (see below), whose sum is σ = 10975231800. Its totient is φ = 10236162048.

The previous prime is 10605564961. The next prime is 10605565057. The reversal of 10605564973 is 37946550601.

It can be written as a sum of positive squares in 4 ways, for example, as 429194089 + 10176370884 = 20717^2 + 100878^2 .

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 10605564973 - 2²¹ = 10603467821 is a prime.

It is a super-2 number, since 2×10605564973² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605564923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17613 + ... + 146701.

It is an arithmetic number, because the mean of its divisors is an integer number (1371903975).

Almost surely, 2^10605564973 is an apocalyptic number.

It is an amenable number.

10605564973 is a deficient number, since it is larger than the sum of its proper divisors (369666827).

10605564973 is a wasteful number, since it uses less digits than its factorization.

10605564973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131951.

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 10605564973 in words is "ten billion, six hundred five million, five hundred sixty-four thousand, nine hundred seventy-three".