104001216 has 112 divisors (see below), whose sum is σ = 313383168. Its totient is φ = 30131200.

The previous prime is 104001203. The next prime is 104001253. The reversal of 104001216 is 612100401.

It is a junction number, because it is equal to n+sod(n) for n = 104001195 and 104001204.

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 15 ways as a sum of consecutive naturals, for example, 47506 + ... + 49646.

It is an arithmetic number, because the mean of its divisors is an integer number (2798064).

Almost surely, 2^104001216 is an apocalyptic number.

104001216 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 104001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156691584).

104001216 is an abundant number, since it is smaller than the sum of its proper divisors (209381952).

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

104001216 is a wasteful number, since it uses less digits than its factorization.

104001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 104001216 is about 10198.0986463164. The cubic root of 104001216 is about 470.2687703723.

Adding to 104001216 its reverse (612100401), we get a palindrome (716101617).

The spelling of 104001216 in words is "one hundred four million, one thousand, two hundred sixteen".