106863 has 8 divisors (see below), whose sum is σ = 144000. Its totient is φ = 70488.

The previous prime is 106861. The next prime is 106867. The reversal of 106863 is 368601.

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

It is not a de Polignac number, because 106863 - 2¹ = 106861 is a prime.

It is a super-2 number, since 2×106863² = 22839401538, which contains 22 as substring.

106863 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106861) 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, 438 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2¹⁰⁶⁸⁶³ is an apocalyptic number.

106863 is a deficient number, since it is larger than the sum of its proper divisors (37137).

106863 is a wasteful number, since it uses less digits than its factorization.

106863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106863 is about 326.8990669916. The cubic root of 106863 is about 47.4543235889.

It can be divided in two parts, 106 and 863, that added together give a palindrome (969).

The spelling of 106863 in words is "one hundred six thousand, eight hundred sixty-three".