104216112 has 320 divisors, whose sum is σ = 403307520. Its totient is φ = 24883200.

The previous prime is 104216093. The next prime is 104216131. The reversal of 104216112 is 211612401.

104216112 is a `hidden beast` number, since 10 + 42 + 1 + 611 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (104216093) and next prime (104216131).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432312 + ... + 432552.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 2^104216112 is an apocalyptic number.

104216112 is a gapful number since it is divisible by the number (12) 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 104216112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201653760).

104216112 is an abundant number, since it is smaller than the sum of its proper divisors (299091408).

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

104216112 is a wasteful number, since it uses less digits than its factorization.

104216112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 104216112 is about 10208.6292909479. The cubic root of 104216112 is about 470.5924504083.

Adding to 104216112 its reverse (211612401), we get a palindrome (315828513).

The spelling of 104216112 in words is "one hundred four million, two hundred sixteen thousand, one hundred twelve".