1102824 has 72 divisors (see below), whose sum is σ = 3232710. Its totient is φ = 339456.

The previous prime is 1102823. The next prime is 1102831. The reversal of 1102824 is 4282011.

It can be written as a sum of positive squares in 3 ways, for example, as 1102500 + 324 = 1050^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1102797 and 1102806.

It is not an unprimeable number, because it can be changed into a prime (1102823) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20782 + ... + 20834.

2^1102824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616355).

1102824 is an abundant number, since it is smaller than the sum of its proper divisors (2129886).

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

1102824 is a wasteful number, since it uses less digits than its factorization.

1102824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1102824 is about 1050.1542743807. The cubic root of 1102824 is about 103.3162742101.

Adding to 1102824 its reverse (4282011), we get a palindrome (5384835).

The spelling of 1102824 in words is "one million, one hundred two thousand, eight hundred twenty-four".