10006105601 has 4 divisors (see below), whose sum is σ = 10018264512. Its totient is φ = 9993946692.

The previous prime is 10006105589. The next prime is 10006105607. The reversal of 10006105601 is 10650160001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10650160001 = 13 ⋅819243077.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10006105601 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10006105607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6078221 + ... + 6079866.

It is an arithmetic number, because the mean of its divisors is an integer number (2504566128).

Almost surely, 2^10006105601 is an apocalyptic number.

It is an amenable number.

10006105601 is a deficient number, since it is larger than the sum of its proper divisors (12158911).

10006105601 is an equidigital number, since it uses as much as digits as its factorization.

10006105601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12158910.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 10006105601 its reverse (10650160001), we get a palindrome (20656265602).

The spelling of 10006105601 in words is "ten billion, six million, one hundred five thousand, six hundred one".