106056651661 has 2 divisors, whose sum is σ = 106056651662. Its totient is φ = 106056651660.

The previous prime is 106056651601. The next prime is 106056651677. The reversal of 106056651661 is 166156650601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80040897225 + 26015754436 = 282915^2 + 161294^2 .

It is an emirp because it is prime and its reverse (166156650601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106056651661 - 2³⁵ = 71696913293 is a prime.

It is a super-2 number, since 2×106056651661² (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 (106056651601) 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, 53028325830 + 53028325831.

It is an arithmetic number, because the mean of its divisors is an integer number (53028325831).

Almost surely, 2^106056651661 is an apocalyptic number.

It is an amenable number.

106056651661 is a deficient number, since it is larger than the sum of its proper divisors (1).

106056651661 is an equidigital number, since it uses as much as digits as its factorization.

106056651661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 106056651661 in words is "one hundred six billion, fifty-six million, six hundred fifty-one thousand, six hundred sixty-one".