104616 has 24 divisors (see below), whose sum is σ = 283530. Its totient is φ = 34848.

The previous prime is 104597. The next prime is 104623. The reversal of 104616 is 616401.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 44100 = 246^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 5 ways as a sum of consecutive naturals, for example, 655 + ... + 798.

2¹⁰⁴⁶¹⁶ is an apocalyptic number.

It is an amenable number.

104616 is an abundant number, since it is smaller than the sum of its proper divisors (178914).

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

104616 is a wasteful number, since it uses less digits than its factorization.

104616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104616 is about 323.4439673266. The cubic root of 104616 is about 47.1193586157.

The spelling of 104616 in words is "one hundred four thousand, six hundred sixteen".