103584085 has 32 divisors (see below), whose sum is σ = 141886080. Its totient is φ = 71904000.

The previous prime is 103584031. The next prime is 103584097. The reversal of 103584085 is 580485301.

It is not a de Polignac number, because 103584085 - 2¹⁵ = 103551317 is a prime.

It is a super-3 number, since 3×103584085³ (a number of 25 digits) contains 333 as substring.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 103584085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160774 + ... + 161416.

It is an arithmetic number, because the mean of its divisors is an integer number (4433940).

Almost surely, 2^103584085 is an apocalyptic number.

It is an amenable number.

103584085 is a deficient number, since it is larger than the sum of its proper divisors (38301995).

103584085 is a wasteful number, since it uses less digits than its factorization.

103584085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789.

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 103584085 is about 10177.6266879858. The cubic root of 103584085 is about 469.6392055282.

The spelling of 103584085 in words is "one hundred three million, five hundred eighty-four thousand, eighty-five".