10506005424 has 160 divisors (see below), whose sum is σ = 30544711680. Its totient is φ = 3457209600.

The previous prime is 10506005357. The next prime is 10506005443. The reversal of 10506005424 is 42450060501.

10506005424 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 600 + 54 + 2 + 4 = 666.

10506005424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10506005424² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12953979 + ... + 12954789.

It is an arithmetic number, because the mean of its divisors is an integer number (190904448).

Almost surely, 2^10506005424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506005424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272355840).

10506005424 is an abundant number, since it is smaller than the sum of its proper divisors (20038706256).

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

10506005424 is a wasteful number, since it uses less digits than its factorization.

10506005424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10506005424 its reverse (42450060501), we get a palindrome (52956065925).

The spelling of 10506005424 in words is "ten billion, five hundred six million, five thousand, four hundred twenty-four".