1102816 has 48 divisors (see below), whose sum is σ = 2561328. Its totient is φ = 460800.

The previous prime is 1102813. The next prime is 1102823. The reversal of 1102816 is 6182011.

1102816 is nontrivially palindromic in base 12 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 1102793 and 1102802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4456 + ... + 4696.

It is an arithmetic number, because the mean of its divisors is an integer number (53361).

2^1102816 is an apocalyptic number.

1102816 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 1102816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280664).

1102816 is an abundant number, since it is smaller than the sum of its proper divisors (1458512).

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

1102816 is a wasteful number, since it uses less digits than its factorization.

1102816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1102816 is about 1050.1504654096. The cubic root of 1102816 is about 103.3160243872.

Adding to 1102816 its reverse (6182011), we get a palindrome (7284827).

It can be divided in two parts, 110 and 2816, that added together give a triangular number (2926 = T₇₆).

The spelling of 1102816 in words is "one million, one hundred two thousand, eight hundred sixteen".