105612329 has 2 divisors, whose sum is σ = 105612330. Its totient is φ = 105612328.

The previous prime is 105612293. The next prime is 105612361. The reversal of 105612329 is 923216501.

Together with previous prime (105612293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81090025 + 24522304 = 9005^2 + 4952^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105612329 is a prime.

It is a super-2 number, since 2×105612329² = 22307928073608482, 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 (105612929) 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, 52806164 + 52806165.

It is an arithmetic number, because the mean of its divisors is an integer number (52806165).

Almost surely, 2^105612329 is an apocalyptic number.

It is an amenable number.

105612329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105612329 is an equidigital number, since it uses as much as digits as its factorization.

105612329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 105612329 is about 10276.7859275164. The cubic root of 105612329 is about 472.6846943664.

The spelling of 105612329 in words is "one hundred five million, six hundred twelve thousand, three hundred twenty-nine".