1106506008 has 80 divisors (see below), whose sum is σ = 3111171360. Its totient is φ = 367416000.

The previous prime is 1106505997. The next prime is 1106506043. The reversal of 1106506008 is 8006056011.

1106506008 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 50 + 600 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 172458 + ... + 178758.

It is an arithmetic number, because the mean of its divisors is an integer number (38889642).

Almost surely, 2^1106506008 is an apocalyptic number.

1106506008 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 1106506008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555585680).

1106506008 is an abundant number, since it is smaller than the sum of its proper divisors (2004665352).

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

1106506008 is a wasteful number, since it uses less digits than its factorization.

1106506008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1106506008 is about 33264.1850644203. The cubic root of 1106506008 is about 1034.3112746288.

The spelling of 1106506008 in words is "one billion, one hundred six million, five hundred six thousand, eight".