1100168160 has 384 divisors, whose sum is σ = 4328432640. Its totient is φ = 228704256.

The previous prime is 1100168159. The next prime is 1100168183. The reversal of 1100168160 is 618610011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1100168160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3887379 + ... + 3887661.

It is an arithmetic number, because the mean of its divisors is an integer number (11271960).

Almost surely, 2^1100168160 is an apocalyptic number.

1100168160 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 1100168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164216320).

1100168160 is an abundant number, since it is smaller than the sum of its proper divisors (3228264480).

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

1100168160 is a wasteful number, since it uses less digits than its factorization.

1100168160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 1100168160 is about 33168.7829140594. The cubic root of 1100168160 is about 1032.3327152683.

Adding to 1100168160 its reverse (618610011), we get a palindrome (1718778171).

The spelling of 1100168160 in words is "one billion, one hundred million, one hundred sixty-eight thousand, one hundred sixty".