105123 has 8 divisors (see below), whose sum is σ = 142528. Its totient is φ = 68904.

The previous prime is 105107. The next prime is 105137. The reversal of 105123 is 321501.

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

It is not a de Polignac number, because 105123 - 2⁴ = 105107 is a prime.

It is a super-2 number, since 2×105123² = 22101690258, 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 = 105099 and 105108.

It is not an unprimeable number, because it can be changed into a prime (105143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (17816).

2¹⁰⁵¹²³ is an apocalyptic number.

105123 is a deficient number, since it is larger than the sum of its proper divisors (37405).

105123 is an equidigital number, since it uses as much as digits as its factorization.

105123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105123 is about 324.2267724911. The cubic root of 105123 is about 47.1953540864.

Subtracting from 105123 its sum of digits (12), we obtain a triangular number (105111 = T₄₅₈).

Adding to 105123 its reverse (321501), we get a palindrome (426624).

The spelling of 105123 in words is "one hundred five thousand, one hundred twenty-three".