105042 has 32 divisors (see below), whose sum is σ = 249984. Its totient is φ = 28800.

The previous prime is 105037. The next prime is 105071. The reversal of 105042 is 240501.

It is a super-2 number, since 2×105042² = 22067643528, which contains 22 as substring.

It is an unprimeable number.

105042 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692 + ... + 1752.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹⁰⁵⁰⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

105042 is an abundant number, since it is smaller than the sum of its proper divisors (144942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105042 is a wasteful number, since it uses less digits than its factorization.

105042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 105042 is about 324.1018358479. The cubic root of 105042 is about 47.1832292233.

Adding to 105042 its reverse (240501), we get a palindrome (345543).

It can be divided in two parts, 1050 and 42, that multiplied together give a square (44100 = 210²).

The spelling of 105042 in words is "one hundred five thousand, forty-two".