103864 has 8 divisors (see below), whose sum is σ = 194760. Its totient is φ = 51928.

The previous prime is 103843. The next prime is 103867. The reversal of 103864 is 468301.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6484 + ... + 6499.

It is an arithmetic number, because the mean of its divisors is an integer number (24345).

2¹⁰³⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

103864 is a deficient number, since it is larger than the sum of its proper divisors (90896).

103864 is a wasteful number, since it uses less digits than its factorization.

103864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12989 (or 12985 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 103864 is about 322.2793819033. The cubic root of 103864 is about 47.0061859973.

The spelling of 103864 in words is "one hundred three thousand, eight hundred sixty-four".