106564388761 has 2 divisors, whose sum is σ = 106564388762. Its totient is φ = 106564388760.

The previous prime is 106564388743. The next prime is 106564388807. The reversal of 106564388761 is 167883465601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59179806361 + 47384582400 = 243269^2 + 217680^2 .

It is a cyclic number.

It is not a de Polignac number, because 106564388761 - 2⁵ = 106564388729 is a prime.

It is a super-2 number, since 2×106564388761² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106564388461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53282194380 + 53282194381.

It is an arithmetic number, because the mean of its divisors is an integer number (53282194381).

Almost surely, 2^106564388761 is an apocalyptic number.

It is an amenable number.

106564388761 is a deficient number, since it is larger than the sum of its proper divisors (1).

106564388761 is an equidigital number, since it uses as much as digits as its factorization.

106564388761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 106564388761 in words is "one hundred six billion, five hundred sixty-four million, three hundred eighty-eight thousand, seven hundred sixty-one".