10500310320 has 80 divisors (see below), whose sum is σ = 32609198592. Its totient is φ = 2795073280.

The previous prime is 10500310273. The next prime is 10500310333. The reversal of 10500310320 is 2301300501.

It is a happy number.

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

It is a super-2 number, since 2×10500310320² (a number of 21 digits) contains 22 as substring.

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 10500310320.

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, 96265 + ... + 173975.

Almost surely, 2^10500310320 is an apocalyptic number.

10500310320 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 10500310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16304599296).

10500310320 is an abundant number, since it is smaller than the sum of its proper divisors (22108888272).

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

10500310320 is a wasteful number, since it uses less digits than its factorization.

10500310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78290 (or 78284 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 10500310320 its reverse (2301300501), we get a palindrome (12801610821).

The spelling of 10500310320 in words is "ten billion, five hundred million, three hundred ten thousand, three hundred twenty".