1101110164 has 108 divisors (see below), whose sum is σ = 2550400020. Its totient is φ = 413952000.

The previous prime is 1101110123. The next prime is 1101110167. The reversal of 1101110164 is 4610111011.

It can be written as a sum of positive squares in 2 ways, for example, as 929762064 + 171348100 = 30492^2 + 13090^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101110167) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 686964 + ... + 688564.

It is an arithmetic number, because the mean of its divisors is an integer number (23614815).

Almost surely, 2^1101110164 is an apocalyptic number.

1101110164 is a gapful number since it is divisible by the number (14) 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 1101110164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275200010).

1101110164 is an abundant number, since it is smaller than the sum of its proper divisors (1449289856).

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

1101110164 is a wasteful number, since it uses less digits than its factorization.

1101110164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

The square root of 1101110164 is about 33182.9800349517. The cubic root of 1101110164 is about 1032.6272714892.

Adding to 1101110164 its reverse (4610111011), we get a palindrome (5711221175).

The spelling of 1101110164 in words is "one billion, one hundred one million, one hundred ten thousand, one hundred sixty-four".