1106185164 has 96 divisors (see below), whose sum is σ = 3060718080. Its totient is φ = 304238592.

The previous prime is 1106185151. The next prime is 1106185169. The reversal of 1106185164 is 4615816011.

It is not an unprimeable number, because it can be changed into a prime (1106185169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405179 + ... + 1405965.

It is an arithmetic number, because the mean of its divisors is an integer number (31882480).

Almost surely, 2^1106185164 is an apocalyptic number.

1106185164 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 1106185164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530359040).

1106185164 is an abundant number, since it is smaller than the sum of its proper divisors (1954532916).

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

1106185164 is a wasteful number, since it uses less digits than its factorization.

1106185164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1106185164 is about 33259.3620504062. The cubic root of 1106185164 is about 1034.2112948594.

The spelling of 1106185164 in words is "one billion, one hundred six million, one hundred eighty-five thousand, one hundred sixty-four".