123330105 has 48 divisors (see below), whose sum is σ = 219360960. Its totient is φ = 64080000.

The previous prime is 123330101. The next prime is 123330107. The reversal of 123330105 is 501033321.

It is not a de Polignac number, because 123330105 - 2² = 123330101 is a prime.

It is a super-2 number, since 2×123330105² = 30420629598622050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123330101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491230 + ... + 491480.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2^123330105 is an apocalyptic number.

123330105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123330105 is a deficient number, since it is larger than the sum of its proper divisors (96030855).

123330105 is a wasteful number, since it uses less digits than its factorization.

123330105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 499 counting only the distinct ones).

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

The square root of 123330105 is about 11105.4088173286. The cubic root of 123330105 is about 497.7634842440.

Adding to 123330105 its reverse (501033321), we get a palindrome (624363426).

The spelling of 123330105 in words is "one hundred twenty-three million, three hundred thirty thousand, one hundred five".