1033104120 has 128 divisors (see below), whose sum is σ = 3219955200. Its totient is φ = 264854016.

The previous prime is 1033104011. The next prime is 1033104181. The reversal of 1033104120 is 214013301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1033104120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067877 + ... + 1068843.

It is an arithmetic number, because the mean of its divisors is an integer number (25155900).

Almost surely, 2^1033104120 is an apocalyptic number.

1033104120 is a gapful number since it is divisible by the number (10) 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 1033104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609977600).

1033104120 is an abundant number, since it is smaller than the sum of its proper divisors (2186851080).

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

1033104120 is a wasteful number, since it uses less digits than its factorization.

1033104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1033104120 is about 32141.9370915942. The cubic root of 1033104120 is about 1010.9151330602.

Adding to 1033104120 its reverse (214013301), we get a palindrome (1247117421).

The spelling of 1033104120 in words is "one billion, thirty-three million, one hundred four thousand, one hundred twenty".