106185829 has 2 divisors, whose sum is σ = 106185830. Its totient is φ = 106185828.

The previous prime is 106185799. The next prime is 106185839. The reversal of 106185829 is 928581601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99800100 + 6385729 = 9990^2 + 2527^2 .

It is a cyclic number.

It is not a de Polignac number, because 106185829 - 2⁵ = 106185797 is a prime.

It is a super-3 number, since 3×106185829³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106185791 and 106185800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106185839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53092914 + 53092915.

It is an arithmetic number, because the mean of its divisors is an integer number (53092915).

Almost surely, 2^106185829 is an apocalyptic number.

It is an amenable number.

106185829 is a deficient number, since it is larger than the sum of its proper divisors (1).

106185829 is an equidigital number, since it uses as much as digits as its factorization.

106185829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 40.

The square root of 106185829 is about 10304.6508431873. The cubic root of 106185829 is about 473.5387469979.

The spelling of 106185829 in words is "one hundred six million, one hundred eighty-five thousand, eight hundred twenty-nine".