103680430 has 32 divisors (see below), whose sum is σ = 220170240. Its totient is φ = 34400160.

The previous prime is 103680427. The next prime is 103680443. The reversal of 103680430 is 34086301.

It is a junction number, because it is equal to n+sod(n) for n = 103680395 and 103680404.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21720 + ... + 26059.

It is an arithmetic number, because the mean of its divisors is an integer number (6880320).

Almost surely, 2^103680430 is an apocalyptic number.

103680430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103680430 is an abundant number, since it is smaller than the sum of its proper divisors (116489810).

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

103680430 is a wasteful number, since it uses less digits than its factorization.

103680430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47824.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 103680430 is about 10182.3587640586. The cubic root of 103680430 is about 469.7847663966.

The spelling of 103680430 in words is "one hundred three million, six hundred eighty thousand, four hundred thirty".