20106564001 has 2 divisors, whose sum is σ = 20106564002. Its totient is φ = 20106564000.

The previous prime is 20106563989. The next prime is 20106564011. The reversal of 20106564001 is 10046560102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19738845025 + 367718976 = 140495^2 + 19176^2 .

It is a cyclic number.

It is not a de Polignac number, because 20106564001 - 2¹⁵ = 20106531233 is a prime.

It is not a weakly prime, because it can be changed into another prime (20106564011) 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 as a sum of consecutive naturals, namely, 10053282000 + 10053282001.

It is an arithmetic number, because the mean of its divisors is an integer number (10053282001).

Almost surely, 2^20106564001 is an apocalyptic number.

It is an amenable number.

20106564001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20106564001 is an equidigital number, since it uses as much as digits as its factorization.

20106564001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 20106564001 in words is "twenty billion, one hundred six million, five hundred sixty-four thousand, one".