10102032320 has 28 divisors (see below), whose sum is σ = 24055465224. Its totient is φ = 4040812800.

The previous prime is 10102032251. The next prime is 10102032323. The reversal of 10102032320 is 2323020101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10102032295 and 10102032304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102032323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15784106 + ... + 15784745.

It is an arithmetic number, because the mean of its divisors is an integer number (859123758).

Almost surely, 2^10102032320 is an apocalyptic number.

10102032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102032320 is an abundant number, since it is smaller than the sum of its proper divisors (13953432904).

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

10102032320 is an equidigital number, since it uses as much as digits as its factorization.

10102032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31568868 (or 31568858 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10102032320 its reverse (2323020101), we get a palindrome (12425052421).

The spelling of 10102032320 in words is "ten billion, one hundred two million, thirty-two thousand, three hundred twenty".