106359329 has 8 divisors (see below), whose sum is σ = 108037800. Its totient is φ = 104694016.

The previous prime is 106359307. The next prime is 106359347. The reversal of 106359329 is 923953601.

It can be written as a sum of positive squares in 4 ways, for example, as 1849600 + 104509729 = 1360^2 + 10223^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106359329 - 2²⁰ = 105310753 is a prime.

It is a super-2 number, since 2×106359329² = 22624613730660482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106359292 and 106359301.

It is not an unprimeable number, because it can be changed into a prime (106359829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13679 + ... + 19995.

It is an arithmetic number, because the mean of its divisors is an integer number (13504725).

Almost surely, 2^106359329 is an apocalyptic number.

It is an amenable number.

106359329 is a deficient number, since it is larger than the sum of its proper divisors (1678471).

106359329 is a wasteful number, since it uses less digits than its factorization.

106359329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579.

The product of its (nonzero) digits is 43740, while the sum is 38.

The square root of 106359329 is about 10313.0659359863. The cubic root of 106359329 is about 473.7965160639.

The spelling of 106359329 in words is "one hundred six million, three hundred fifty-nine thousand, three hundred twenty-nine".