1105580 has 48 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 369408.

The previous prime is 1105579. The next prime is 1105583. The reversal of 1105580 is 855011.

1105580 = T₄₉ + T₅₀ + ... + T₁₈₈.

It is a super-3 number, since 3×1105580³ = 4054074971583336000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1105583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7346 + ... + 7494.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^1105580 is an apocalyptic number.

1105580 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 1105580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

1105580 is an abundant number, since it is smaller than the sum of its proper divisors (1616020).

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

1105580 is a wasteful number, since it uses less digits than its factorization.

1105580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 1105580 is about 1051.4656437564. The cubic root of 1105580 is about 103.4022664110.

The spelling of 1105580 in words is "one million, one hundred five thousand, five hundred eighty".