10545500900 has 108 divisors (see below), whose sum is σ = 25405183860. Its totient is φ = 3796320000.

The previous prime is 10545500891. The next prime is 10545500923. The reversal of 10545500900 is 900554501.

10545500900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 883397284 + 9662103616 = 29722^2 + 98296^2 .

It is a super-2 number, since 2×10545500900² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1217786 + ... + 1226414.

Almost surely, 2^10545500900 is an apocalyptic number.

10545500900 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 10545500900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702591930).

10545500900 is an abundant number, since it is smaller than the sum of its proper divisors (14859682960).

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

10545500900 is a wasteful number, since it uses less digits than its factorization.

10545500900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 10545500900 in words is "ten billion, five hundred forty-five million, five hundred thousand, nine hundred".