107663 has 8 divisors (see below), whose sum is σ = 116736. Its totient is φ = 99000.

The previous prime is 107647. The next prime is 107671. The reversal of 107663 is 366701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107663 - 2⁴ = 107647 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (14592).

2¹⁰⁷⁶⁶³ is an apocalyptic number.

107663 is a deficient number, since it is larger than the sum of its proper divisors (9073).

107663 is a wasteful number, since it uses less digits than its factorization.

107663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 107663 is about 328.1204047297. The cubic root of 107663 is about 47.5724471572.

The spelling of 107663 in words is "one hundred seven thousand, six hundred sixty-three".