106362329 has 2 divisors, whose sum is σ = 106362330. Its totient is φ = 106362328.

The previous prime is 106362317. The next prime is 106362341. The reversal of 106362329 is 923263601.

It is a balanced prime because it is at equal distance from previous prime (106362317) and next prime (106362341).

It can be written as a sum of positive squares in only one way, i.e., 105678400 + 683929 = 10280^2 + 827^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106362329 is a prime.

It is a super-2 number, since 2×106362329² = 22625890060608482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106362295 and 106362304.

It is not a weakly prime, because it can be changed into another prime (106362359) 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, 53181164 + 53181165.

It is an arithmetic number, because the mean of its divisors is an integer number (53181165).

Almost surely, 2^106362329 is an apocalyptic number.

It is an amenable number.

106362329 is a deficient number, since it is larger than the sum of its proper divisors (1).

106362329 is an equidigital number, since it uses as much as digits as its factorization.

106362329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 106362329 is about 10313.2113815242. The cubic root of 106362329 is about 473.8009706996.

The spelling of 106362329 in words is "one hundred six million, three hundred sixty-two thousand, three hundred twenty-nine".