1105200 has 90 divisors (see below), whose sum is σ = 3847844. Its totient is φ = 293760.

The previous prime is 1105193. The next prime is 1105201. The reversal of 1105200 is 25011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1105201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3447 + ... + 3753.

2^1105200 is an apocalyptic number.

1105200 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 1105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923922).

1105200 is an abundant number, since it is smaller than the sum of its proper divisors (2742644).

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

1105200 is a wasteful number, since it uses less digits than its factorization.

1105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1105200 is about 1051.2849280761. The cubic root of 1105200 is about 103.3904182215.

The spelling of 1105200 in words is "one million, one hundred five thousand, two hundred".