106646821109 has 2 divisors, whose sum is σ = 106646821110. Its totient is φ = 106646821108.

The previous prime is 106646821091. The next prime is 106646821111. The reversal of 106646821109 is 901128646601.

Together with previous prime (106646821091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71314100209 + 35332720900 = 267047^2 + 187970^2 .

It is an emirp because it is prime and its reverse (901128646601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106646821109 - 2⁸ = 106646820853 is a prime.

It is a super-2 number, since 2×106646821109² (a number of 23 digits) contains 22 as substring.

Together with 106646821111, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106646821109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106646821159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53323410554 + 53323410555.

It is an arithmetic number, because the mean of its divisors is an integer number (53323410555).

Almost surely, 2^106646821109 is an apocalyptic number.

It is an amenable number.

106646821109 is a deficient number, since it is larger than the sum of its proper divisors (1).

106646821109 is an equidigital number, since it uses as much as digits as its factorization.

106646821109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 106646821109 in words is "one hundred six billion, six hundred forty-six million, eight hundred twenty-one thousand, one hundred nine".