103580840 has 48 divisors (see below), whose sum is σ = 256181940. Its totient is φ = 37664000.

The previous prime is 103580839. The next prime is 103580843. The reversal of 103580840 is 48085301.

It can be written as a sum of positive squares in 2 ways, for example, as 98446084 + 5134756 = 9922^2 + 2266^2 .

It is a super-3 number, since 3×103580840³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103580843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5861 + ... + 15540.

Almost surely, 2^103580840 is an apocalyptic number.

103580840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103580840 is an abundant number, since it is smaller than the sum of its proper divisors (152601100).

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

103580840 is a wasteful number, since it uses less digits than its factorization.

103580840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21434 (or 21419 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 103580840 is about 10177.4672684318. The cubic root of 103580840 is about 469.6343013155.

The spelling of 103580840 in words is "one hundred three million, five hundred eighty thousand, eight hundred forty".