106789829 has 2 divisors, whose sum is σ = 106789830. Its totient is φ = 106789828.

The previous prime is 106789723. The next prime is 106789841. The reversal of 106789829 is 928987601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104509729 + 2280100 = 10223^2 + 1510^2 .

It is a cyclic number.

It is not a de Polignac number, because 106789829 - 2¹² = 106785733 is a prime.

It is a super-2 number, since 2×106789829² = 22808135155698482, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106789849) 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, 53394914 + 53394915.

It is an arithmetic number, because the mean of its divisors is an integer number (53394915).

Almost surely, 2^106789829 is an apocalyptic number.

It is an amenable number.

106789829 is a deficient number, since it is larger than the sum of its proper divisors (1).

106789829 is an equidigital number, since it uses as much as digits as its factorization.

106789829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 50.

The square root of 106789829 is about 10333.9164405370. The cubic root of 106789829 is about 474.4349017568.

The spelling of 106789829 in words is "one hundred six million, seven hundred eighty-nine thousand, eight hundred twenty-nine".