107316 has 36 divisors (see below), whose sum is σ = 297024. Its totient is φ = 32400.

The previous prime is 107309. The next prime is 107323. The reversal of 107316 is 613701.

It is an interprime number because it is at equal distance from previous prime (107309) and next prime (107323).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261 + ... + 531.

2¹⁰⁷³¹⁶ 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 107316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148512).

107316 is an abundant number, since it is smaller than the sum of its proper divisors (189708).

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

107316 is a wasteful number, since it uses less digits than its factorization.

107316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

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

The square root of 107316 is about 327.5912086732. The cubic root of 107316 is about 47.5212831677.

It can be divided in two parts, 1073 and 16, that added together give a square (1089 = 33²).

The spelling of 107316 in words is "one hundred seven thousand, three hundred sixteen".