1100165166 has 80 divisors (see below), whose sum is σ = 2642192784. Its totient is φ = 340920576.

The previous prime is 1100165161. The next prime is 1100165179. The reversal of 1100165166 is 6615610011.

1100165166 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 651 + 6 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100165161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 226176 + ... + 230988.

Almost surely, 2^1100165166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100165166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321096392).

1100165166 is an abundant number, since it is smaller than the sum of its proper divisors (1542027618).

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

1100165166 is a wasteful number, since it uses less digits than its factorization.

1100165166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4918 counting only the distinct ones).

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

The square root of 1100165166 is about 33168.7377812301. The cubic root of 1100165166 is about 1032.3317788033.

Adding to 1100165166 its reverse (6615610011), we get a palindrome (7715775177).

It can be divided in two parts, 11001 and 65166, that added together give a palindrome (76167).

The spelling of 1100165166 in words is "one billion, one hundred million, one hundred sixty-five thousand, one hundred sixty-six".