107616 has 48 divisors (see below), whose sum is σ = 302400. Its totient is φ = 33408.

The previous prime is 107609. The next prime is 107621. The reversal of 107616 is 616701.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 107592 and 107601.

It is a congruent number.

It is an unprimeable number.

107616 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, 1795 + ... + 1853.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹⁰⁷⁶¹⁶ is an apocalyptic number.

107616 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 107616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

107616 is an abundant number, since it is smaller than the sum of its proper divisors (194784).

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

107616 is a wasteful number, since it uses less digits than its factorization.

107616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 107616 is about 328.0487768610. The cubic root of 107616 is about 47.5655236074.

It can be divided in two parts, 10 and 7616, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 107616 in words is "one hundred seven thousand, six hundred sixteen".