1105164 has 42 divisors (see below), whose sum is σ = 2907380. Its totient is φ = 367416.

The previous prime is 1105163. The next prime is 1105171. The reversal of 1105164 is 4615011.

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

It is not an unprimeable number, because it can be changed into a prime (1105163) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2727 + ... + 3105.

2^1105164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453690).

1105164 is an abundant number, since it is smaller than the sum of its proper divisors (1802216).

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

1105164 is an equidigital number, since it uses as much as digits as its factorization.

1105164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1105164 is about 1051.2678060323. The cubic root of 1105164 is about 103.3892956206.

The spelling of 1105164 in words is "one million, one hundred five thousand, one hundred sixty-four".