103716 has 36 divisors (see below), whose sum is σ = 272272. Its totient is φ = 33264.

The previous prime is 103703. The next prime is 103723. The reversal of 103716 is 617301.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1515 + ... + 1581.

2¹⁰³⁷¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136136).

103716 is an abundant number, since it is smaller than the sum of its proper divisors (168556).

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

103716 is a wasteful number, since it uses less digits than its factorization.

103716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 103716 is about 322.0496856077. The cubic root of 103716 is about 46.9838483810.

It can be divided in two parts, 10371 and 6, that multiplied together give a palindrome (62226).

The spelling of 103716 in words is "one hundred three thousand, seven hundred sixteen".