1106535168 has 360 divisors, whose sum is σ = 3623791248. Its totient is φ = 334430208.

The previous prime is 1106535137. The next prime is 1106535169. The reversal of 1106535168 is 8615356011.

1106535168 is a `hidden beast` number, since 1 + 106 + 535 + 16 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1106535169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15157980 + ... + 15158052.

Almost surely, 2^1106535168 is an apocalyptic number.

1106535168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106535168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811895624).

1106535168 is an abundant number, since it is smaller than the sum of its proper divisors (2517256080).

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

1106535168 is an equidigital number, since it uses as much as digits as its factorization.

1106535168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1106535168 is about 33264.6233707824. The cubic root of 1106535168 is about 1034.3203603610.

The spelling of 1106535168 in words is "one billion, one hundred six million, five hundred thirty-five thousand, one hundred sixty-eight".