103613216 has 48 divisors (see below), whose sum is σ = 235980864. Its totient is φ = 43862784.

The previous prime is 103613179. The next prime is 103613227. The reversal of 103613216 is 612316301.

It is a happy number.

It is a super-3 number, since 3×103613216³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103613191 and 103613200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15806 + ... + 21378.

It is an arithmetic number, because the mean of its divisors is an integer number (4916268).

Almost surely, 2^103613216 is an apocalyptic number.

103613216 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 103613216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117990432).

103613216 is an abundant number, since it is smaller than the sum of its proper divisors (132367648).

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

103613216 is an equidigital number, since it uses as much as digits as its factorization.

103613216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 103613216 is about 10179.0577167044. The cubic root of 103613216 is about 469.6832270185.

Adding to 103613216 its reverse (612316301), we get a palindrome (715929517).

The spelling of 103613216 in words is "one hundred three million, six hundred thirteen thousand, two hundred sixteen".