1105312 has 24 divisors (see below), whose sum is σ = 2344356. Its totient is φ = 509952.

The previous prime is 1105309. The next prime is 1105327. The reversal of 1105312 is 2135011.

It can be written as a sum of positive squares in 2 ways, for example, as 1089936 + 15376 = 1044^2 + 124^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1105292 and 1105301.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 913 + ... + 1744.

2^1105312 is an apocalyptic number.

It is an amenable number.

1105312 is an abundant number, since it is smaller than the sum of its proper divisors (1239044).

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

1105312 is a wasteful number, since it uses less digits than its factorization.

1105312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1105312 is about 1051.3381948736. The cubic root of 1105312 is about 103.3939106017.

The spelling of 1105312 in words is "one million, one hundred five thousand, three hundred twelve".