105618329 has 2 divisors, whose sum is σ = 105618330. Its totient is φ = 105618328.

The previous prime is 105618311. The next prime is 105618343. The reversal of 105618329 is 923816501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105616729 + 1600 = 10277^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 105618329 - 2¹⁶ = 105552793 is a prime.

It is a super-2 number, since 2×105618329² = 22310462841504482, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (105612329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52809164 + 52809165.

It is an arithmetic number, because the mean of its divisors is an integer number (52809165).

Almost surely, 2^105618329 is an apocalyptic number.

It is an amenable number.

105618329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105618329 is an equidigital number, since it uses as much as digits as its factorization.

105618329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 105618329 is about 10277.0778434339. The cubic root of 105618329 is about 472.6936455135.

The spelling of 105618329 in words is "one hundred five million, six hundred eighteen thousand, three hundred twenty-nine".