104582016 has 320 divisors, whose sum is σ = 390994560. Its totient is φ = 26956800.

The previous prime is 104581993. The next prime is 104582029. The reversal of 104582016 is 610285401.

104582016 is a `hidden beast` number, since 1 + 0 + 458 + 201 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 798271 + ... + 798401.

It is an arithmetic number, because the mean of its divisors is an integer number (1221858).

Almost surely, 2^104582016 is an apocalyptic number.

104582016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195497280).

104582016 is an abundant number, since it is smaller than the sum of its proper divisors (286412544).

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

104582016 is a wasteful number, since it uses less digits than its factorization.

104582016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 104582016 is about 10226.5348970216. The cubic root of 104582016 is about 471.1425589809.

The spelling of 104582016 in words is "one hundred four million, five hundred eighty-two thousand, sixteen".