103580032 has 32 divisors (see below), whose sum is σ = 207774000. Its totient is φ = 51432960.

The previous prime is 103580027. The next prime is 103580053. The reversal of 103580032 is 230085301.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×103580032³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103579985 and 103580012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16357 + ... + 21787.

Almost surely, 2^103580032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103887000).

103580032 is an abundant number, since it is smaller than the sum of its proper divisors (104193968).

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

103580032 is an equidigital number, since it uses as much as digits as its factorization.

103580032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 103580032 is about 10177.4275728202. The cubic root of 103580032 is about 469.6330801582.

The spelling of 103580032 in words is "one hundred three million, five hundred eighty thousand, thirty-two".