10540960900 has 72 divisors (see below), whose sum is σ = 23156462336. Its totient is φ = 4164480000.

The previous prime is 10540960897. The next prime is 10540960901. The reversal of 10540960900 is 906904501.

It is a super-2 number, since 2×10540960900² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10540960901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7283977 + ... + 7285423.

Almost surely, 2^10540960900 is an apocalyptic number.

10540960900 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 10540960900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11578231168).

10540960900 is an abundant number, since it is smaller than the sum of its proper divisors (12615501436).

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

10540960900 is a wasteful number, since it uses less digits than its factorization.

10540960900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 10540960900 in words is "ten billion, five hundred forty million, nine hundred sixty thousand, nine hundred".