123424104105 has 64 divisors (see below), whose sum is σ = 221955552000. Its totient is φ = 65069830656.

The previous prime is 123424104079. The next prime is 123424104149. The reversal of 123424104105 is 501401424321.

123424104105 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 241 + 0 + 410 + 5 = 666.

It is not a de Polignac number, because 123424104105 - 2⁷ = 123424103977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4358131 + ... + 4386359.

It is an arithmetic number, because the mean of its divisors is an integer number (3468055500).

Almost surely, 2^123424104105 is an apocalyptic number.

123424104105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123424104105 is a deficient number, since it is larger than the sum of its proper divisors (98531447895).

123424104105 is a wasteful number, since it uses less digits than its factorization.

123424104105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28615 (or 28609 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 123424104105 its reverse (501401424321), we get a palindrome (624825528426).

It can be divided in two parts, 123424 and 104105, that added together give a square (227529 = 477²).

The spelling of 123424104105 in words is "one hundred twenty-three billion, four hundred twenty-four million, one hundred four thousand, one hundred five".