100863 has 12 divisors (see below), whose sum is σ = 166608. Its totient is φ = 57600.

The previous prime is 100853. The next prime is 100907. The reversal of 100863 is 368001.

It is not a de Polignac number, because 100863 - 2⁴ = 100847 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100863.

It is not an unprimeable number, because it can be changed into a prime (100823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (13884).

2¹⁰⁰⁸⁶³ is an apocalyptic number.

100863 is a deficient number, since it is larger than the sum of its proper divisors (65745).

100863 is a wasteful number, since it uses less digits than its factorization.

100863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100863 is about 317.5893575043. The cubic root of 100863 is about 46.5490291047.

Adding to 100863 its reverse (368001), we get a palindrome (468864).

It can be divided in two parts, 1008 and 63, that multiplied together give a square (63504 = 252²).

The spelling of 100863 in words is "one hundred thousand, eight hundred sixty-three".