10424173305 has 256 divisors, whose sum is σ = 23026139136. Its totient is φ = 3901685760.

The previous prime is 10424173261. The next prime is 10424173351. The reversal of 10424173305 is 50337142401.

It is a happy number.

10424173305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10424173305 - 2⁶ = 10424173241 is a prime.

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 255 ways as a sum of consecutive naturals, for example, 30932097 + ... + 30932433.

It is an arithmetic number, because the mean of its divisors is an integer number (89945856).

Almost surely, 2^10424173305 is an apocalyptic number.

10424173305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10424173305 is an abundant number, since it is smaller than the sum of its proper divisors (12601965831).

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

10424173305 is a wasteful number, since it uses less digits than its factorization.

10424173305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 10424173305 in words is "ten billion, four hundred twenty-four million, one hundred seventy-three thousand, three hundred five".