104916 has 24 divisors (see below), whose sum is σ = 280000. Its totient is φ = 29952.

The previous prime is 104911. The next prime is 104917. The reversal of 104916 is 619401.

It is a super-2 number, since 2×104916² = 22014734112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 104892 and 104901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104911) by changing a digit.

104916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541 + ... + 708.

104916 is a Friedman number, since it can be written as (9*(1+1))^4-60, using all its digits and the basic arithmetic operations.

2¹⁰⁴⁹¹⁶ is an apocalyptic number.

It is an amenable number.

104916 is an abundant number, since it is smaller than the sum of its proper divisors (175084).

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

104916 is a wasteful number, since it uses less digits than its factorization.

104916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 104916 is about 323.9073941731. The cubic root of 104916 is about 47.1643559296.

The spelling of 104916 in words is "one hundred four thousand, nine hundred sixteen".