103680768 has 72 divisors (see below), whose sum is σ = 278376448. Its totient is φ = 34255872.

The previous prime is 103680767. The next prime is 103680779. The reversal of 103680768 is 867086301.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (103680763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97005 + ... + 98067.

Almost surely, 2^103680768 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 103680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139188224).

103680768 is an abundant number, since it is smaller than the sum of its proper divisors (174695680).

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

103680768 is a wasteful number, since it uses less digits than its factorization.

103680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 103680768 is about 10182.3753613781. The cubic root of 103680768 is about 469.7852768982.

The spelling of 103680768 in words is "one hundred three million, six hundred eighty thousand, seven hundred sixty-eight".