105042123 has 16 divisors (see below), whose sum is σ = 159415200. Its totient is φ = 68319360.

The previous prime is 105042103. The next prime is 105042137. The reversal of 105042123 is 321240501.

It is not a de Polignac number, because 105042123 - 2⁹ = 105041611 is a prime.

It is a super-2 number, since 2×105042123² = 22067695208694258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105042096 and 105042105.

It is not an unprimeable number, because it can be changed into a prime (105042103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46338 + ... + 48551.

It is an arithmetic number, because the mean of its divisors is an integer number (9963450).

Almost surely, 2^105042123 is an apocalyptic number.

105042123 is a deficient number, since it is larger than the sum of its proper divisors (54373077).

105042123 is an equidigital number, since it uses as much as digits as its factorization.

105042123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94939 (or 94933 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105042123 is about 10249.0059517984. The cubic root of 105042123 is about 471.8324763984.

Adding to 105042123 its reverse (321240501), we get a palindrome (426282624).

The spelling of 105042123 in words is "one hundred five million, forty-two thousand, one hundred twenty-three".