11966172100 has 27 divisors (see below), whose sum is σ = 25968967437. Its totient is φ = 4786031280.

The previous prime is 11966172083. The next prime is 11966172121. The reversal of 11966172100 is 127166911.

The square root of 11966172100 is 109390.

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

11966172100 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., 4307821956 + 7658350144 = 65634^2 + 87512^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 1088431 + ... + 1099369.

Almost surely, 2^11966172100 is an apocalyptic number.

11966172100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11966172100 is the 109390-th square number.

It is an amenable number.

11966172100 is an abundant number, since it is smaller than the sum of its proper divisors (14002795337).

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

11966172100 is an frugal number, since it uses more digits than its factorization.

11966172100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21892 (or 10946 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 11966172100 in words is "eleven billion, nine hundred sixty-six million, one hundred seventy-two thousand, one hundred".