10032100320 has 288 divisors, whose sum is σ = 36567296640. Its totient is φ = 2303769600.

The previous prime is 10032100313. The next prime is 10032100343. The reversal of 10032100320 is 2300123001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10032100296 and 10032100305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1098975 + ... + 1108065.

It is an arithmetic number, because the mean of its divisors is an integer number (126969780).

Almost surely, 2^10032100320 is an apocalyptic number.

10032100320 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 10032100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18283648320).

10032100320 is an abundant number, since it is smaller than the sum of its proper divisors (26535196320).

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

10032100320 is a wasteful number, since it uses less digits than its factorization.

10032100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10032100320 its reverse (2300123001), we get a palindrome (12332223321).

The spelling of 10032100320 in words is "ten billion, thirty-two million, one hundred thousand, three hundred twenty".