105124 has 12 divisors (see below), whose sum is σ = 188748. Its totient is φ = 51200.

The previous prime is 105107. The next prime is 105137. The reversal of 105124 is 421501.

105124 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 47524 + 57600 = 218^2 + 240^2 .

It is a super-2 number, since 2×105124² = 22102110752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157 + ... + 484.

It is an arithmetic number, because the mean of its divisors is an integer number (15729).

2¹⁰⁵¹²⁴ is an apocalyptic number.

It is an amenable number.

105124 is a deficient number, since it is larger than the sum of its proper divisors (83624).

105124 is a wasteful number, since it uses less digits than its factorization.

105124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105124 is about 324.2283146180. The cubic root of 105124 is about 47.1955037372.

Subtracting from 105124 its sum of digits (13), we obtain a triangular number (105111 = T₄₅₈).

Adding to 105124 its reverse (421501), we get a palindrome (526625).

The spelling of 105124 in words is "one hundred five thousand, one hundred twenty-four".