105033123 has 24 divisors (see below), whose sum is σ = 172999008. Its totient is φ = 60832512.

The previous prime is 105033113. The next prime is 105033143. The reversal of 105033123 is 321330501.

It is not a de Polignac number, because 105033123 - 2¹⁶ = 104967587 is a prime.

It is a super-2 number, since 2×105033123² = 22063913854266258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105033096 and 105033105.

It is not an unprimeable number, because it can be changed into a prime (105033113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24415 + ... + 28392.

It is an arithmetic number, because the mean of its divisors is an integer number (7208292).

Almost surely, 2^105033123 is an apocalyptic number.

105033123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105033123 is a deficient number, since it is larger than the sum of its proper divisors (67965885).

105033123 is a wasteful number, since it uses less digits than its factorization.

105033123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52843 (or 52840 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 105033123 is about 10248.5668754221. The cubic root of 105033123 is about 471.8190004917.

Adding to 105033123 its reverse (321330501), we get a palindrome (426363624).

The spelling of 105033123 in words is "one hundred five million, thirty-three thousand, one hundred twenty-three".