107008 has 40 divisors (see below), whose sum is σ = 245520. Its totient is φ = 46080.

The previous prime is 106993. The next prime is 107021. The reversal of 107008 is 800701.

It is a super-2 number, since 2×107008² = 22901424128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 106982 and 107000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5623 + ... + 5641.

It is an arithmetic number, because the mean of its divisors is an integer number (6138).

2¹⁰⁷⁰⁰⁸ 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 107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760).

107008 is an abundant number, since it is smaller than the sum of its proper divisors (138512).

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

107008 is an equidigital number, since it uses as much as digits as its factorization.

107008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 107008 is about 327.1207728042. The cubic root of 107008 is about 47.4757771232.

Adding to 107008 its reverse (800701), we get a palindrome (907709).

The spelling of 107008 in words is "one hundred seven thousand, eight".