103616 has 14 divisors (see below), whose sum is σ = 205740. Its totient is φ = 51776.

The previous prime is 103613. The next prime is 103619. The reversal of 103616 is 616301.

103616 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (103613) and next prime (103619).

It is a super-3 number, since 3×103616³ = 3337349752946688, which contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 103594 and 103603.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103616.

It is not an unprimeable number, because it can be changed into a prime (103613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 746 + ... + 873.

2¹⁰³⁶¹⁶ is an apocalyptic number.

103616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103616 is a deficient number, since it is larger than the sum of its proper divisors (102124).

103616 is an equidigital number, since it uses as much as digits as its factorization.

103616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 103616 is about 321.8943926197. The cubic root of 103616 is about 46.9687433645.

Adding to 103616 its reverse (616301), we get a palindrome (719917).

The spelling of 103616 in words is "one hundred three thousand, six hundred sixteen".