103416 has 32 divisors (see below), whose sum is σ = 268800. Its totient is φ = 33120.

The previous prime is 103409. The next prime is 103421. The reversal of 103416 is 614301.

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 = 103395 and 103404.

It is a congruent number.

It is an unprimeable number.

103416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2¹⁰³⁴¹⁶ is an apocalyptic number.

103416 is the 186-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134400).

103416 is an abundant number, since it is smaller than the sum of its proper divisors (165384).

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

103416 is a wasteful number, since it uses less digits than its factorization.

103416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 103416 is about 321.5835816705. The cubic root of 103416 is about 46.9385041508.

Adding to 103416 its reverse (614301), we get a palindrome (717717).

The spelling of 103416 in words is "one hundred three thousand, four hundred sixteen".