105663 has 4 divisors (see below), whose sum is σ = 140888. Its totient is φ = 70440.

The previous prime is 105653. The next prime is 105667. The reversal of 105663 is 366501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 366501 = 3 ⋅122167.

It is not a de Polignac number, because 105663 - 2⁸ = 105407 is a prime.

It is a super-2 number, since 2×105663² = 22329339138, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17608 + ... + 17613.

It is an arithmetic number, because the mean of its divisors is an integer number (35222).

2¹⁰⁵⁶⁶³ is an apocalyptic number.

105663 is a deficient number, since it is larger than the sum of its proper divisors (35225).

105663 is an equidigital number, since it uses as much as digits as its factorization.

105663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35224.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 105663 is about 325.0584562813. The cubic root of 105663 is about 47.2760277640.

The spelling of 105663 in words is "one hundred five thousand, six hundred sixty-three".