103817216 has 112 divisors (see below), whose sum is σ = 235915200. Its totient is φ = 45416448.

The previous prime is 103817213. The next prime is 103817267. The reversal of 103817216 is 612718301.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (103817213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3579890 + ... + 3579918.

Almost surely, 2^103817216 is an apocalyptic number.

103817216 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 103817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117957600).

103817216 is an abundant number, since it is smaller than the sum of its proper divisors (132097984).

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

103817216 is an equidigital number, since it uses as much as digits as its factorization.

103817216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 103817216 is about 10189.0733631670. The cubic root of 103817216 is about 469.9912719067.

The spelling of 103817216 in words is "one hundred three million, eight hundred seventeen thousand, two hundred sixteen".