107016 has 64 divisors (see below), whose sum is σ = 336000. Its totient is φ = 28224.

The previous prime is 106993. The next prime is 107021. The reversal of 107016 is 610701.

107016 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×107016² = 22904848512, which contains 22 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 = 106986 and 107004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8226 + ... + 8238.

It is an arithmetic number, because the mean of its divisors is an integer number (5250).

2¹⁰⁷⁰¹⁶ 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 107016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168000).

107016 is an abundant number, since it is smaller than the sum of its proper divisors (228984).

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

107016 is a wasteful number, since it uses less digits than its factorization.

107016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 107016 is about 327.1330004753. The cubic root of 107016 is about 47.4769602022.

Adding to 107016 its reverse (610701), we get a palindrome (717717).

The spelling of 107016 in words is "one hundred seven thousand, sixteen".