101863 has 2 divisors, whose sum is σ = 101864. Its totient is φ = 101862.

The previous prime is 101839. The next prime is 101869. The reversal of 101863 is 368101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101863 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101863.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50931 + 50932.

It is an arithmetic number, because the mean of its divisors is an integer number (50932).

2¹⁰¹⁸⁶³ is an apocalyptic number.

101863 is a deficient number, since it is larger than the sum of its proper divisors (1).

101863 is an equidigital number, since it uses as much as digits as its factorization.

101863 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 101863 is about 319.1598345657. The cubic root of 101863 is about 46.7023593151.

Adding to 101863 its reverse (368101), we get a palindrome (469964).

It can be divided in two parts, 1018 and 63, that added together give a triangular number (1081 = T₄₆).

The spelling of 101863 in words is "one hundred one thousand, eight hundred sixty-three".