103764 has 12 divisors (see below), whose sum is σ = 242144. Its totient is φ = 34584.

The previous prime is 103723. The next prime is 103769. The reversal of 103764 is 467301.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 103764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103769) by changing a digit.

103764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4312 + ... + 4335.

103764 is a Friedman number, since it can be written as 47^3-60+1, using all its digits and the basic arithmetic operations.

2¹⁰³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

103764 is an abundant number, since it is smaller than the sum of its proper divisors (138380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103764 is a wasteful number, since it uses less digits than its factorization.

103764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8654 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 103764 is about 322.1241996498. The cubic root of 103764 is about 46.9910953403.

The spelling of 103764 in words is "one hundred three thousand, seven hundred sixty-four".