105435329 has 12 divisors (see below), whose sum is σ = 109829616. Its totient is φ = 101210928.

The previous prime is 105435277. The next prime is 105435349. The reversal of 105435329 is 923534501.

It is not a de Polignac number, because 105435329 - 2¹⁶ = 105369793 is a prime.

It is a super-2 number, since 2×105435329² = 22233217202676482, 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 = 105435295 and 105435304.

It is not an unprimeable number, because it can be changed into a prime (105435349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237782 + ... + 238224.

It is an arithmetic number, because the mean of its divisors is an integer number (9152468).

Almost surely, 2^105435329 is an apocalyptic number.

It is an amenable number.

105435329 is a deficient number, since it is larger than the sum of its proper divisors (4394287).

105435329 is an equidigital number, since it uses as much as digits as its factorization.

105435329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 105435329 is about 10268.1706744678. The cubic root of 105435329 is about 472.4204828722.

The spelling of 105435329 in words is "one hundred five million, four hundred thirty-five thousand, three hundred twenty-nine".