11306068900 has 189 divisors, whose sum is σ = 29576275617. Its totient is φ = 3751322400.

The previous prime is 11306068861. The next prime is 11306068967. The reversal of 11306068900 is 986060311.

The square root of 11306068900 is 106330.

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

11306068900 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 only one way, i.e., 4070184804 + 7235884096 = 63798^2 + 85064^2 .

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 62 ways as a sum of consecutive naturals, for example, 364711885 + ... + 364711915.

Almost surely, 2^11306068900 is an apocalyptic number.

11306068900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11306068900 is the 106330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11306068900

11306068900 is an abundant number, since it is smaller than the sum of its proper divisors (18270206717).

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

11306068900 is an frugal number, since it uses more digits than its factorization.

11306068900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 11306068900 in words is "eleven billion, three hundred six million, sixty-eight thousand, nine hundred".