106561044221 has 2 divisors, whose sum is σ = 106561044222. Its totient is φ = 106561044220.

The previous prime is 106561044203. The next prime is 106561044229. The reversal of 106561044221 is 122440165601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98191356025 + 8369688196 = 313355^2 + 91486^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106561044221 is a prime.

It is a super-2 number, since 2×106561044221² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106561044229) by changing a digit.

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 as a sum of consecutive naturals, namely, 53280522110 + 53280522111.

It is an arithmetic number, because the mean of its divisors is an integer number (53280522111).

Almost surely, 2^106561044221 is an apocalyptic number.

It is an amenable number.

106561044221 is a deficient number, since it is larger than the sum of its proper divisors (1).

106561044221 is an equidigital number, since it uses as much as digits as its factorization.

106561044221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 106561044221 in words is "one hundred six billion, five hundred sixty-one million, forty-four thousand, two hundred twenty-one".