103580880 has 80 divisors (see below), whose sum is σ = 345811200. Its totient is φ = 25496064.

The previous prime is 103580863. The next prime is 103580899. The reversal of 103580880 is 88085301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×103580880³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13480 + ... + 19719.

It is an arithmetic number, because the mean of its divisors is an integer number (4322640).

Almost surely, 2^103580880 is an apocalyptic number.

103580880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103580880 is an abundant number, since it is smaller than the sum of its proper divisors (242230320).

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

103580880 is a wasteful number, since it uses less digits than its factorization.

103580880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33228 (or 33222 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 103580880 is about 10177.4692335570. The cubic root of 103580880 is about 469.6343617687.

The spelling of 103580880 in words is "one hundred three million, five hundred eighty thousand, eight hundred eighty".