103591680 has 144 divisors (see below), whose sum is σ = 337750560. Its totient is φ = 27049984.

The previous prime is 103591679. The next prime is 103591703. The reversal of 103591680 is 86195301.

It is a super-3 number, since 3×103591680³ (a number of 25 digits) contains 333 as substring.

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, 203266 + ... + 203774.

It is an arithmetic number, because the mean of its divisors is an integer number (2345490).

Almost surely, 2^103591680 is an apocalyptic number.

103591680 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 103591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168875280).

103591680 is an abundant number, since it is smaller than the sum of its proper divisors (234158880).

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

103591680 is an equidigital number, since it uses as much as digits as its factorization.

103591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 103591680 is about 10177.9998034977. Note that the first 3 decimals coincide. The cubic root of 103591680 is about 469.6506835546.

The spelling of 103591680 in words is "one hundred three million, five hundred ninety-one thousand, six hundred eighty".