10808513296 has 135 divisors (see below), whose sum is σ = 25208900199. Its totient is φ = 4476273984.

The previous prime is 10808513291. The next prime is 10808513333. The reversal of 10808513296 is 69231580801.

The square root of 10808513296 is 103964.

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

It is not an unprimeable number, because it can be changed into a prime (10808513291) 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 26 ways as a sum of consecutive naturals, for example, 136816585 + ... + 136816663.

Almost surely, 2^10808513296 is an apocalyptic number.

10808513296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10808513296 is the 103964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10808513296

10808513296 is an abundant number, since it is smaller than the sum of its proper divisors (14400386903).

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

10808513296 is an frugal number, since it uses more digits than its factorization.

10808513296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 10808513296 in words is "ten billion, eight hundred eight million, five hundred thirteen thousand, two hundred ninety-six".