11106188643100 has 72 divisors (see below), whose sum is σ = 25520266598400. Its totient is φ = 4180798648320.

The previous prime is 11106188643097. The next prime is 11106188643113. The reversal of 11106188643100 is 134688160111.

It is a happy number.

It is a super-2 number, since 2×11106188643100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20212197 + ... + 20754403.

It is an arithmetic number, because the mean of its divisors is an integer number (354448147200).

Almost surely, 2^{11106188643100} is an apocalyptic number.

11106188643100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11106188643100 is an abundant number, since it is smaller than the sum of its proper divisors (14414077955300).

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

11106188643100 is a wasteful number, since it uses less digits than its factorization.

11106188643100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554287 (or 554280 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 11106188643100 in words is "eleven trillion, one hundred six billion, one hundred eighty-eight million, six hundred forty-three thousand, one hundred".