103916448 has 36 divisors (see below), whose sum is σ = 295513218. Its totient is φ = 34638720.

The previous prime is 103916447. The next prime is 103916479. The reversal of 103916448 is 844619301.

103916448 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 1 + 644 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103795344 + 121104 = 10188^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103916441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180123 + ... + 180698.

Almost surely, 2^103916448 is an apocalyptic number.

103916448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103916448 is an abundant number, since it is smaller than the sum of its proper divisors (191596770).

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

103916448 is a wasteful number, since it uses less digits than its factorization.

103916448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360837 (or 360826 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 103916448 is about 10193.9417302631. The cubic root of 103916448 is about 470.1409687301.

The spelling of 103916448 in words is "one hundred three million, nine hundred sixteen thousand, four hundred forty-eight".