11106120 has 32 divisors (see below), whose sum is σ = 33318720. Its totient is φ = 2961600.

The previous prime is 11106103. The next prime is 11106131. The reversal of 11106120 is 2160111.

It is a happy number.

11106120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11106096 and 11106105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46156 + ... + 46395.

It is an arithmetic number, because the mean of its divisors is an integer number (1041210).

Almost surely, 2^11106120 is an apocalyptic number.

11106120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11106120 is an abundant number, since it is smaller than the sum of its proper divisors (22212600).

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

11106120 is a wasteful number, since it uses less digits than its factorization.

11106120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92565 (or 92561 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 11106120 is about 3332.5845825725. The cubic root of 11106120 is about 223.1108995475.

Adding to 11106120 its reverse (2160111), we get a palindrome (13266231).

The spelling of 11106120 in words is "eleven million, one hundred six thousand, one hundred twenty".