1105936 has 30 divisors (see below), whose sum is σ = 2325930. Its totient is φ = 509184.

The previous prime is 1105919. The next prime is 1105943. The reversal of 1105936 is 6395011.

It can be written as a sum of positive squares in 3 ways, for example, as 65536 + 1040400 = 256^2 + 1020^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1105936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2500 + ... + 2908.

It is an arithmetic number, because the mean of its divisors is an integer number (77531).

2^1105936 is an apocalyptic number.

1105936 is a gapful number since it is divisible by the number (16) 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 1105936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162965).

1105936 is an abundant number, since it is smaller than the sum of its proper divisors (1219994).

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

1105936 is a wasteful number, since it uses less digits than its factorization.

1105936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 1105936 is about 1051.6349176401. The cubic root of 1105936 is about 103.4133638309.

The spelling of 1105936 in words is "one million, one hundred five thousand, nine hundred thirty-six".