106122749 has 2 divisors, whose sum is σ = 106122750. Its totient is φ = 106122748.

The previous prime is 106122739. The next prime is 106122763. The reversal of 106122749 is 947221601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105719524 + 403225 = 10282^2 + 635^2 .

It is an emirp because it is prime and its reverse (947221601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106122749 - 2¹⁶ = 106057213 is a prime.

It is a super-2 number, since 2×106122749² = 22524075710634002, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106122739) 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, 53061374 + 53061375.

It is an arithmetic number, because the mean of its divisors is an integer number (53061375).

Almost surely, 2^106122749 is an apocalyptic number.

It is an amenable number.

106122749 is a deficient number, since it is larger than the sum of its proper divisors (1).

106122749 is an equidigital number, since it uses as much as digits as its factorization.

106122749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 106122749 is about 10301.5896346147. The cubic root of 106122749 is about 473.4449594013. Note that the first 3 decimals are identical.

The spelling of 106122749 in words is "one hundred six million, one hundred twenty-two thousand, seven hundred forty-nine".