10934884900 has 27 divisors (see below), whose sum is σ = 23730969619. Its totient is φ = 4373535680.

The previous prime is 10934884853. The next prime is 10934884901. The reversal of 10934884900 is 948843901.

The square root of 10934884900 is 104570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1143386596 + 9791498304 = 33814^2 + 98952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10934884901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1040472 + ... + 1050928.

Almost surely, 2^10934884900 is an apocalyptic number.

10934884900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10934884900 is the 104570-th square number.

It is an amenable number.

10934884900 is an abundant number, since it is smaller than the sum of its proper divisors (12796084719).

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

10934884900 is an frugal number, since it uses more digits than its factorization.

10934884900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20928 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 10934884900 in words is "ten billion, nine hundred thirty-four million, eight hundred eighty-four thousand, nine hundred".