11066334092100 has 1215 divisors, whose sum is σ = 42393611055159. Its totient is φ = 2414320473600.

The previous prime is 11066334092081. The next prime is 11066334092129. The reversal of 11066334092100 is 129043366011.

The square root of 11066334092100 is 3326610.

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

11066334092100 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 6 + 33 + 409 + 210 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60554382084 + 11005779710016 = 246078^2 + 3317496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 151593617664 + ... + 151593617736.

Almost surely, 2^{11066334092100} is an apocalyptic number.

11066334092100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11066334092100 is the 3326610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11066334092100

11066334092100 is an abundant number, since it is smaller than the sum of its proper divisors (31327276963059).

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

11066334092100 is an equidigital number, since it uses as much as digits as its factorization.

11066334092100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 11066334092100 by its sum of digits (36), we get a square (398388027315600 = 19959660²).

11066334092100 divided by its sum of digits (36) gives a square (307398169225 = 554435²).

The spelling of 11066334092100 in words is "eleven trillion, sixty-six billion, three hundred thirty-four million, ninety-two thousand, one hundred".