1107312 has 80 divisors (see below), whose sum is σ = 3214080. Its totient is φ = 326656.

The previous prime is 1107269. The next prime is 1107317. The reversal of 1107312 is 2137011.

It is a super-2 number, since 2×1107312² = 2452279730688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1107291 and 1107300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18739 + ... + 18797.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2^1107312 is an apocalyptic number.

1107312 is a gapful number since it is divisible by the number (12) 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 1107312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040).

1107312 is an abundant number, since it is smaller than the sum of its proper divisors (2106768).

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

1107312 is a wasteful number, since it uses less digits than its factorization.

1107312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 1107312 is about 1052.2889337059. The cubic root of 1107312 is about 103.4562348512.

The spelling of 1107312 in words is "one million, one hundred seven thousand, three hundred twelve".