104193216 has 140 divisors (see below), whose sum is σ = 313486800. Its totient is φ = 34214400.

The previous prime is 104193211. The next prime is 104193247. The reversal of 104193216 is 612391401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104193216.

It is not an unprimeable number, because it can be changed into a prime (104193211) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 523485 + ... + 523683.

Almost surely, 2^104193216 is an apocalyptic number.

104193216 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 104193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156743400).

104193216 is an abundant number, since it is smaller than the sum of its proper divisors (209293584).

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

104193216 is a wasteful number, since it uses less digits than its factorization.

104193216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 104193216 is about 10207.5078251256. The cubic root of 104193216 is about 470.5579852516.

The spelling of 104193216 in words is "one hundred four million, one hundred ninety-three thousand, two hundred sixteen".