1106561160 has 96 divisors (see below), whose sum is σ = 3624791040. Its totient is φ = 292747392.

The previous prime is 1106561147. The next prime is 1106561171. The reversal of 1106561160 is 611656011.

1106561160 is a `hidden beast` number, since 1 + 1 + 0 + 656 + 1 + 1 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33619 + ... + 57821.

It is an arithmetic number, because the mean of its divisors is an integer number (37758240).

Almost surely, 2^1106561160 is an apocalyptic number.

1106561160 is a gapful number since it is divisible by the number (10) 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 1106561160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812395520).

1106561160 is an abundant number, since it is smaller than the sum of its proper divisors (2518229880).

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

1106561160 is a wasteful number, since it uses less digits than its factorization.

1106561160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24347 (or 24340 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1106561160 is about 33265.0140538073. The cubic root of 1106561160 is about 1034.3284588668.

The spelling of 1106561160 in words is "one billion, one hundred six million, five hundred sixty-one thousand, one hundred sixty".