10200032320 has 112 divisors (see below), whose sum is σ = 24991649280. Its totient is φ = 3963488256.

The previous prime is 10200032309. The next prime is 10200032347. The reversal of 10200032320 is 2323000201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10200032320.

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, 1743961 + ... + 1749799.

Almost surely, 2^10200032320 is an apocalyptic number.

10200032320 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 10200032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12495824640).

10200032320 is an abundant number, since it is smaller than the sum of its proper divisors (14791616960).

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

10200032320 is a wasteful number, since it uses less digits than its factorization.

10200032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10200032320 its reverse (2323000201), we get a palindrome (12523032521).

The spelling of 10200032320 in words is "ten billion, two hundred million, thirty-two thousand, three hundred twenty".