103580128 has 24 divisors (see below), whose sum is σ = 205488360. Its totient is φ = 51392640.

The previous prime is 103580123. The next prime is 103580137. The reversal of 103580128 is 821085301.

It is a super-3 number, since 3×103580128³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103580096 and 103580105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103580123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8163 + ... + 16546.

It is an arithmetic number, because the mean of its divisors is an integer number (8562015).

Almost surely, 2^103580128 is an apocalyptic number.

It is an amenable number.

103580128 is a deficient number, since it is larger than the sum of its proper divisors (101908232).

103580128 is a wasteful number, since it uses less digits than its factorization.

103580128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24850 (or 24842 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 103580128 is about 10177.4322891386. The cubic root of 103580128 is about 469.6332252466.

The spelling of 103580128 in words is "one hundred three million, five hundred eighty thousand, one hundred twenty-eight".