10132210320 has 80 divisors (see below), whose sum is σ = 31474711680. Its totient is φ = 2696343552.

The previous prime is 10132210303. The next prime is 10132210331. The reversal of 10132210320 is 2301223101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10132210320.

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, 73536 + ... + 160224.

It is an arithmetic number, because the mean of its divisors is an integer number (393433896).

Almost surely, 2^10132210320 is an apocalyptic number.

10132210320 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 10132210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15737355840).

10132210320 is an abundant number, since it is smaller than the sum of its proper divisors (21342501360).

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

10132210320 is a wasteful number, since it uses less digits than its factorization.

10132210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87192 (or 87186 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10132210320 its reverse (2301223101), we get a palindrome (12433433421).

The spelling of 10132210320 in words is "ten billion, one hundred thirty-two million, two hundred ten thousand, three hundred twenty".