1106168180 has 48 divisors (see below), whose sum is σ = 2508302160. Its totient is φ = 407344128.

The previous prime is 1106168159. The next prime is 1106168207. The reversal of 1106168180 is 818616011.

It can be written as a sum of positive squares in 8 ways, for example, as 15319396 + 1090848784 = 3914^2 + 33028^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95672 + ... + 106608.

It is an arithmetic number, because the mean of its divisors is an integer number (52256295).

Almost surely, 2^1106168180 is an apocalyptic number.

1106168180 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 1106168180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254151080).

1106168180 is an abundant number, since it is smaller than the sum of its proper divisors (1402133980).

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

1106168180 is a wasteful number, since it uses less digits than its factorization.

1106168180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11348 (or 11346 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 32.

The square root of 1106168180 is about 33259.1067228210. The cubic root of 1106168180 is about 1034.2060018533.

The spelling of 1106168180 in words is "one billion, one hundred six million, one hundred sixty-eight thousand, one hundred eighty".