103584561 has 8 divisors (see below), whose sum is σ = 145381920. Its totient is φ = 65421792.

The previous prime is 103584557. The next prime is 103584619. The reversal of 103584561 is 165485301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 103584561 - 2² = 103584557 is a prime.

It is a super-3 number, since 3×103584561³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103584521) 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, 908580 + ... + 908693.

It is an arithmetic number, because the mean of its divisors is an integer number (18172740).

Almost surely, 2^103584561 is an apocalyptic number.

It is an amenable number.

103584561 is a deficient number, since it is larger than the sum of its proper divisors (41797359).

103584561 is a wasteful number, since it uses less digits than its factorization.

103584561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817295.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 103584561 is about 10177.6500725855. The cubic root of 103584561 is about 469.6399249048.

The spelling of 103584561 in words is "one hundred three million, five hundred eighty-four thousand, five hundred sixty-one".