10147835424 has 96 divisors (see below), whose sum is σ = 27247691520. Its totient is φ = 3305428992.

The previous prime is 10147835407. The next prime is 10147835443. The reversal of 10147835424 is 42453874101.

10147835424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 3739092 + ... + 3741804.

It is an arithmetic number, because the mean of its divisors is an integer number (283830120).

Almost surely, 2^10147835424 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 10147835424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623845760).

10147835424 is an abundant number, since it is smaller than the sum of its proper divisors (17099856096).

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

10147835424 is a wasteful number, since it uses less digits than its factorization.

10147835424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 10147835424 in words is "ten billion, one hundred forty-seven million, eight hundred thirty-five thousand, four hundred twenty-four".