103580112 has 40 divisors (see below), whose sum is σ = 276812640. Its totient is φ = 33335680.

The previous prime is 103580107. The next prime is 103580119. The reversal of 103580112 is 211085301.

It is a super-3 number, since 3×103580112³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103580119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35814 + ... + 38597.

It is an arithmetic number, because the mean of its divisors is an integer number (6920316).

Almost surely, 2^103580112 is an apocalyptic number.

103580112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103580112 is an abundant number, since it is smaller than the sum of its proper divisors (173232528).

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

103580112 is a wasteful number, since it uses less digits than its factorization.

103580112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74451 (or 74445 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 103580112 is about 10177.4315030856. The cubic root of 103580112 is about 469.6332010652.

The spelling of 103580112 in words is "one hundred three million, five hundred eighty thousand, one hundred twelve".