103680960 has 112 divisors (see below), whose sum is σ = 348605856. Its totient is φ = 26017792.

The previous prime is 103680949. The next prime is 103680971. The reversal of 103680960 is 69086301.

It is an interprime number because it is at equal distance from previous prime (103680949) and next prime (103680971).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13144 + ... + 19496.

Almost surely, 2^103680960 is an apocalyptic number.

103680960 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 103680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174302928).

103680960 is an abundant number, since it is smaller than the sum of its proper divisors (244924896).

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

103680960 is a wasteful number, since it uses less digits than its factorization.

103680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 103680960 is about 10182.3847894292. The cubic root of 103680960 is about 469.7855668868.

The spelling of 103680960 in words is "one hundred three million, six hundred eighty thousand, nine hundred sixty".