9780103680 has 160 divisors (see below), whose sum is σ = 31507679808. Its totient is φ = 2587852800.

The previous prime is 9780103649. The next prime is 9780103721. The reversal of 9780103680 is 863010879.

It is a tau number, because it is divible by the number of its divisors (160).

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, 1001220 + ... + 1010940.

Almost surely, 2^9780103680 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 9780103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15753839904).

9780103680 is an abundant number, since it is smaller than the sum of its proper divisors (21727576128).

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

9780103680 is a wasteful number, since it uses less digits than its factorization.

9780103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9878 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 9780103680 is about 98894.4067174681. The cubic root of 9780103680 is about 2138.5257613552.

The spelling of 9780103680 in words is "nine billion, seven hundred eighty million, one hundred three thousand, six hundred eighty".