10500500000 has 84 divisors (see below), whose sum is σ = 25841973906. Its totient is φ = 4200000000.

The previous prime is 10500499993. The next prime is 10500500009. The reversal of 10500500000 is 500501.

It can be written as a sum of positive squares in 7 ways, for example, as 7141602064 + 3358897936 = 84508^2 + 57956^2 .

It is a super-2 number, since 2×10500500000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10500500009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 489500 + ... + 510500.

Almost surely, 2^10500500000 is an apocalyptic number.

10500500000 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 10500500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12920986953).

10500500000 is an abundant number, since it is smaller than the sum of its proper divisors (15341473906).

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

10500500000 is an frugal number, since it uses more digits than its factorization.

10500500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21041 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 11.

The spelling of 10500500000 in words is "ten billion, five hundred million, five hundred thousand".