1101166110 has 128 divisors (see below), whose sum is σ = 3281886720. Its totient is φ = 260409600.

The previous prime is 1101166093. The next prime is 1101166111. The reversal of 1101166110 is 116611011.

1101166110 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 1 + 661 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101166111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117249 + ... + 126291.

It is an arithmetic number, because the mean of its divisors is an integer number (25639740).

Almost surely, 2^1101166110 is an apocalyptic number.

1101166110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101166110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640943360).

1101166110 is an abundant number, since it is smaller than the sum of its proper divisors (2180720610).

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

1101166110 is a wasteful number, since it uses less digits than its factorization.

1101166110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9111 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1101166110 is about 33183.8230166447. The cubic root of 1101166110 is about 1032.6447600169.

Adding to 1101166110 its reverse (116611011), we get a palindrome (1217777121).

The spelling of 1101166110 in words is "one billion, one hundred one million, one hundred sixty-six thousand, one hundred ten".