1155106008 has 160 divisors (see below), whose sum is σ = 3773748000. Its totient is φ = 329966784.

The previous prime is 1155105983. The next prime is 1155106031. The reversal of 1155106008 is 8006015511.

1155106008 is a `hidden beast` number, since 1 + 1 + 5 + 51 + 0 + 600 + 8 = 666.

It is a super-3 number, since 3×1155106008³ (a number of 28 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219666 + ... + 224862.

It is an arithmetic number, because the mean of its divisors is an integer number (23585925).

Almost surely, 2^1155106008 is an apocalyptic number.

1155106008 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 1155106008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886874000).

1155106008 is an abundant number, since it is smaller than the sum of its proper divisors (2618641992).

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

1155106008 is an equidigital number, since it uses as much as digits as its factorization.

1155106008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1155106008 is about 33986.8505160452. The cubic root of 1155106008 is about 1049.2378469174.

The spelling of 1155106008 in words is "one billion, one hundred fifty-five million, one hundred six thousand, eight".