10500310500 has 96 divisors (see below), whose sum is σ = 30620029440. Its totient is φ = 2796134400.

The previous prime is 10500310489. The next prime is 10500310511. The reversal of 10500310500 is 501300501.

10500310500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10500310489) and next prime (10500310511).

It is a super-2 number, since 2×10500310500² (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 10500310500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1148949 + ... + 1158051.

It is an arithmetic number, because the mean of its divisors is an integer number (318958640).

Almost surely, 2^10500310500 is an apocalyptic number.

10500310500 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 10500310500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15310014720).

10500310500 is an abundant number, since it is smaller than the sum of its proper divisors (20119718940).

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

10500310500 is a wasteful number, since it uses less digits than its factorization.

10500310500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9894 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

Subtracting from 10500310500 its reverse (501300501), we obtain a palindrome (9999009999).

The spelling of 10500310500 in words is "ten billion, five hundred million, three hundred ten thousand, five hundred".