10030032320 has 224 divisors, whose sum is σ = 29875862016. Its totient is φ = 3115929600.

The previous prime is 10030032293. The next prime is 10030032323. The reversal of 10030032320 is 2323003001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10030032295 and 10030032304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030032323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11358599 + ... + 11359481.

It is an arithmetic number, because the mean of its divisors is an integer number (133374384).

Almost surely, 2^10030032320 is an apocalyptic number.

10030032320 is a gapful number since it is divisible by the number (10) 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 10030032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937931008).

10030032320 is an abundant number, since it is smaller than the sum of its proper divisors (19845829696).

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

10030032320 is a wasteful number, since it uses less digits than its factorization.

10030032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 10030032320 its reverse (2323003001), we get a palindrome (12353035321).

The spelling of 10030032320 in words is "ten billion, thirty million, thirty-two thousand, three hundred twenty".