1103368320 has 192 divisors, whose sum is σ = 3831609600. Its totient is φ = 292571136.

The previous prime is 1103368319. The next prime is 1103368349. The reversal of 1103368320 is 238633011.

It is a happy number.

1103368320 is a `hidden beast` number, since 1 + 1 + 0 + 336 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284051 + ... + 1284909.

It is an arithmetic number, because the mean of its divisors is an integer number (19956300).

Almost surely, 2^1103368320 is an apocalyptic number.

1103368320 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 1103368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915804800).

1103368320 is an abundant number, since it is smaller than the sum of its proper divisors (2728241280).

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

1103368320 is a wasteful number, since it uses less digits than its factorization.

1103368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1103368320 is about 33216.9884245998. The cubic root of 1103368320 is about 1033.3326932589.

The spelling of 1103368320 in words is "one billion, one hundred three million, three hundred sixty-eight thousand, three hundred twenty".