105429 has 8 divisors (see below), whose sum is σ = 142272. Its totient is φ = 69440.

The previous prime is 105407. The next prime is 105437. The reversal of 105429 is 924501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105429 - 2⁵ = 105397 is a prime.

It is a super-2 number, since 2×105429² = 22230548082, which contains 22 as substring.

105429 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105449) 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 in 7 ways as a sum of consecutive naturals, for example, 184 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (17784).

2¹⁰⁵⁴²⁹ is an apocalyptic number.

It is an amenable number.

105429 is a deficient number, since it is larger than the sum of its proper divisors (36843).

105429 is a wasteful number, since it uses less digits than its factorization.

105429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105429 is about 324.6983215232. The cubic root of 105429 is about 47.2411029972.

The spelling of 105429 in words is "one hundred five thousand, four hundred twenty-nine".