10747468900 has 81 divisors (see below), whose sum is σ = 27148013067. Its totient is φ = 3682358400.

The previous prime is 10747468889. The next prime is 10747468903. The reversal of 10747468900 is 986474701.

The square root of 10747468900 is 103670.

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 484968484 + 10262500416 = 22022^2 + 101304^2 .

It is not an unprimeable number, because it can be changed into a prime (10747468903) 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, 7256160 + ... + 7257640.

Almost surely, 2^10747468900 is an apocalyptic number.

10747468900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10747468900 is the 103670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10747468900

10747468900 is an abundant number, since it is smaller than the sum of its proper divisors (16400544167).

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

10747468900 is an equidigital number, since it uses as much as digits as its factorization.

10747468900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 10747468900 in words is "ten billion, seven hundred forty-seven million, four hundred sixty-eight thousand, nine hundred".