564316666100105 has 16 divisors (see below), whose sum is σ = 678346951862160. Its totient is φ = 450675894669312.

The previous prime is 564316666100071. The next prime is 564316666100129. The reversal of 564316666100105 is 501001666613465.

It can be written as a sum of positive squares in 8 ways, for example, as 103228526100736 + 461088139999369 = 10160144^2 + 21472963^2 .

It is a cyclic number.

It is not a de Polignac number, because 564316666100105 - 2²⁴ = 564316649322889 is a prime.

It is a super-2 number, since 2×564316666100105² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24617000 + ... + 41648889.

It is an arithmetic number, because the mean of its divisors is an integer number (42396684491385).

Almost surely, 2^{564316666100105} is an apocalyptic number.

It is an amenable number.

564316666100105 is a deficient number, since it is larger than the sum of its proper divisors (114030285762055).

564316666100105 is a wasteful number, since it uses less digits than its factorization.

564316666100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66268828.

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 564316666100105 in words is "five hundred sixty-four trillion, three hundred sixteen billion, six hundred sixty-six million, one hundred thousand, one hundred five".