10005666607 has 8 divisors (see below), whose sum is σ = 10085720400. Its totient is φ = 9925728384.

The previous prime is 10005666481. The next prime is 10005666611. The reversal of 10005666607 is 70666650001.

It is a happy number.

10005666607 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10005666607 - 2¹⁹ = 10005142319 is a prime.

It is a super-2 number, since 2×10005666607² (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 (10005666617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149319 + ... + 205687.

It is an arithmetic number, because the mean of its divisors is an integer number (1260715050).

Almost surely, 2^10005666607 is an apocalyptic number.

10005666607 is a deficient number, since it is larger than the sum of its proper divisors (80053793).

10005666607 is a wasteful number, since it uses less digits than its factorization.

10005666607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57785.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 10005666607 in words is "ten billion, five million, six hundred sixty-six thousand, six hundred seven".