1022104224 has 144 divisors (see below), whose sum is σ = 3082907520. Its totient is φ = 329443200.

The previous prime is 1022104207. The next prime is 1022104231. The reversal of 1022104224 is 4224012201.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1022104197 and 1022104206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829689 + ... + 830919.

It is an arithmetic number, because the mean of its divisors is an integer number (21409080).

Almost surely, 2^1022104224 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 1022104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541453760).

1022104224 is an abundant number, since it is smaller than the sum of its proper divisors (2060803296).

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

1022104224 is a wasteful number, since it uses less digits than its factorization.

1022104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1022104224 is about 31970.3647773997. The cubic root of 1022104224 is about 1007.3144431446.

Adding to 1022104224 its reverse (4224012201), we get a palindrome (5246116425).

It can be divided in two parts, 102 and 2104224, that added together give a triangular number (2104326 = T₂₀₅₁).

The spelling of 1022104224 in words is "one billion, twenty-two million, one hundred four thousand, two hundred twenty-four".