10030724832 has 96 divisors (see below), whose sum is σ = 26957024640. Its totient is φ = 3264837120.

The previous prime is 10030724813. The next prime is 10030724843. The reversal of 10030724832 is 23842703001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10030724832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807823 + ... + 820145.

It is an arithmetic number, because the mean of its divisors is an integer number (280802340).

Almost surely, 2^10030724832 is an apocalyptic number.

10030724832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030724832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478512320).

10030724832 is an abundant number, since it is smaller than the sum of its proper divisors (16926299808).

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

10030724832 is a wasteful number, since it uses less digits than its factorization.

10030724832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12536 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 10030724832 in words is "ten billion, thirty million, seven hundred twenty-four thousand, eight hundred thirty-two".