1105000 has 80 divisors (see below), whose sum is σ = 2952180. Its totient is φ = 384000.

The previous prime is 1104959. The next prime is 1105009. The reversal of 1105000 is 5011.

It can be written as a sum of positive squares in 10 ways, for example, as 116964 + 988036 = 342^2 + 994^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64992 + ... + 65008.

2^1105000 is an apocalyptic number.

1105000 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 1105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476090).

1105000 is an abundant number, since it is smaller than the sum of its proper divisors (1847180).

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

1105000 is a wasteful number, since it uses less digits than its factorization.

1105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 1105000 is about 1051.1898020814. The cubic root of 1105000 is about 103.3841812415.

The spelling of 1105000 in words is "one million, one hundred five thousand".