1106505153 has 48 divisors (see below), whose sum is σ = 1752791040. Its totient is φ = 668570112.

The previous prime is 1106505151. The next prime is 1106505217. The reversal of 1106505153 is 3515056011.

1106505153 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 505 + 153 = 666.

It is not a de Polignac number, because 1106505153 - 2¹ = 1106505151 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1106505151) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1678738 + ... + 1679396.

It is an arithmetic number, because the mean of its divisors is an integer number (36516480).

Almost surely, 2^1106505153 is an apocalyptic number.

1106505153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1106505153 is a deficient number, since it is larger than the sum of its proper divisors (646285887).

1106505153 is a wasteful number, since it uses less digits than its factorization.

1106505153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 1106505153 is about 33264.1722127577. The cubic root of 1106505153 is about 1034.3110082238.

The spelling of 1106505153 in words is "one billion, one hundred six million, five hundred five thousand, one hundred fifty-three".