105305329 has 4 divisors (see below), whose sum is σ = 107292276. Its totient is φ = 103318384.

The previous prime is 105305297. The next prime is 105305363. The reversal of 105305329 is 923503501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 923503501 = 569 ⋅1623029.

It can be written as a sum of positive squares in 2 ways, for example, as 49773025 + 55532304 = 7055^2 + 7452^2 .

It is a cyclic number.

It is not a de Polignac number, because 105305329 - 2⁵ = 105305297 is a prime.

It is a super-2 number, since 2×105305329² = 22178424631596482, 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 = 105305297 and 105305306.

It is not an unprimeable number, because it can be changed into a prime (105305929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 993394 + ... + 993499.

It is an arithmetic number, because the mean of its divisors is an integer number (26823069).

Almost surely, 2^105305329 is an apocalyptic number.

It is an amenable number.

105305329 is a deficient number, since it is larger than the sum of its proper divisors (1986947).

105305329 is an equidigital number, since it uses as much as digits as its factorization.

105305329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986946.

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 105305329 is about 10261.8384805063. The cubic root of 105305329 is about 472.2262408291.

The spelling of 105305329 in words is "one hundred five million, three hundred five thousand, three hundred twenty-nine".