105963 has 24 divisors (see below), whose sum is σ = 175680. Its totient is φ = 56160.

The previous prime is 105953. The next prime is 105967. The reversal of 105963 is 369501.

It is not a de Polignac number, because 105963 - 2⁶ = 105899 is a prime.

It is a super-2 number, since 2×105963² = 22456314738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5568 + ... + 5586.

It is an arithmetic number, because the mean of its divisors is an integer number (7320).

2¹⁰⁵⁹⁶³ is an apocalyptic number.

105963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105963 is a deficient number, since it is larger than the sum of its proper divisors (69717).

105963 is a wasteful number, since it uses less digits than its factorization.

105963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 105963 is about 325.5195846643. The cubic root of 105963 is about 47.3207277592.

The spelling of 105963 in words is "one hundred five thousand, nine hundred sixty-three".