1103967648 has 108 divisors (see below), whose sum is σ = 3652011090. Its totient is φ = 315415296.

The previous prime is 1103967577. The next prime is 1103967719. The reversal of 1103967648 is 8467693011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1103967577) and next prime (1103967719).

It can be written as a sum of positive squares in only one way, i.e., 830131344 + 273836304 = 28812^2 + 16548^2 .

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 17 ways as a sum of consecutive naturals, for example, 25003 + ... + 53226.

Almost surely, 2^1103967648 is an apocalyptic number.

1103967648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1103967648 is an abundant number, since it is smaller than the sum of its proper divisors (2548043442).

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

1103967648 is a wasteful number, since it uses less digits than its factorization.

1103967648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78259 (or 78241 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1103967648 is about 33226.0086077157. The cubic root of 1103967648 is about 1033.5197547347.

It can be divided in two parts, 11039 and 67648, that added together give a palindrome (78687).

The spelling of 1103967648 in words is "one billion, one hundred three million, nine hundred sixty-seven thousand, six hundred forty-eight".