104016 has 40 divisors (see below), whose sum is σ = 294624. Its totient is φ = 31360.

The previous prime is 104009. The next prime is 104021. The reversal of 104016 is 610401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103992 and 104010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430 + ... + 626.

2¹⁰⁴⁰¹⁶ is an apocalyptic number.

104016 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 104016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312).

104016 is an abundant number, since it is smaller than the sum of its proper divisors (190608).

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

104016 is a wasteful number, since it uses less digits than its factorization.

104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 104016 is about 322.5151159248. The cubic root of 104016 is about 47.0291052561.

104016 divided by its sum of digits (12) gives a palindrome (8668).

104016 divided by its product of nonzero digits (24) gives a palindrome (4334).

Adding to 104016 its reverse (610401), we get a palindrome (714417).

The spelling of 104016 in words is "one hundred four thousand, sixteen".