105029 has 4 divisors (see below), whose sum is σ = 105984. Its totient is φ = 104076.

The previous prime is 105023. The next prime is 105031. The reversal of 105029 is 920501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 920501 = 43 ⋅21407.

It is a cyclic number.

It is not a de Polignac number, because 105029 - 2⁸ = 104773 is a prime.

It is a super-2 number, since 2×105029² = 22062181682, 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 = 104998 and 105016.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105029.

It is not an unprimeable number, because it can be changed into a prime (105023) 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, 287 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (26496).

2¹⁰⁵⁰²⁹ is an apocalyptic number.

It is an amenable number.

105029 is a deficient number, since it is larger than the sum of its proper divisors (955).

105029 is an equidigital number, since it uses as much as digits as its factorization.

105029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 105029 is about 324.0817798026. The cubic root of 105029 is about 47.1812826772.

The spelling of 105029 in words is "one hundred five thousand, twenty-nine".