106111106055629 has 2 divisors, whose sum is σ = 106111106055630. Its totient is φ = 106111106055628.

The previous prime is 106111106055601. The next prime is 106111106055631. The reversal of 106111106055629 is 926550601111601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106081039189225 + 30066866404 = 10299565^2 + 173398^2 .

It is a cyclic number.

It is not a de Polignac number, because 106111106055629 - 2⁸ = 106111106055373 is a prime.

It is a super-2 number, since 2×106111106055629² (a number of 29 digits) contains 22 as substring.

Together with 106111106055631, 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 106111106055629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106111106055679) 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, 53055553027814 + 53055553027815.

It is an arithmetic number, because the mean of its divisors is an integer number (53055553027815).

Almost surely, 2^{106111106055629} is an apocalyptic number.

It is an amenable number.

106111106055629 is a deficient number, since it is larger than the sum of its proper divisors (1).

106111106055629 is an equidigital number, since it uses as much as digits as its factorization.

106111106055629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 44.

The spelling of 106111106055629 in words is "one hundred six trillion, one hundred eleven billion, one hundred six million, fifty-five thousand, six hundred twenty-nine".