105678329 has 2 divisors, whose sum is σ = 105678330. Its totient is φ = 105678328.

The previous prime is 105678311. The next prime is 105678367. The reversal of 105678329 is 923876501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88868329 + 16810000 = 9427^2 + 4100^2 .

It is a cyclic number.

It is not a de Polignac number, because 105678329 - 2⁸ = 105678073 is a prime.

It is a super-2 number, since 2×105678329² = 22335818440464482, which contains 22 as substring.

It is a Chen prime.

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 (105678389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52839164 + 52839165.

It is an arithmetic number, because the mean of its divisors is an integer number (52839165).

Almost surely, 2^105678329 is an apocalyptic number.

It is an amenable number.

105678329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105678329 is an equidigital number, since it uses as much as digits as its factorization.

105678329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 105678329 is about 10279.9965466920. The cubic root of 105678329 is about 472.7831383446.

The spelling of 105678329 in words is "one hundred five million, six hundred seventy-eight thousand, three hundred twenty-nine".