103364 has 6 divisors (see below), whose sum is σ = 180894. Its totient is φ = 51680.

The previous prime is 103357. The next prime is 103387. The reversal of 103364 is 463301.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 24964 = 280^2 + 158^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103364.

It is an unprimeable number.

103364 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 as a sum of consecutive naturals, namely, 12917 + ... + 12924.

It is an arithmetic number, because the mean of its divisors is an integer number (30149).

2¹⁰³³⁶⁴ is an apocalyptic number.

It is an amenable number.

103364 is a deficient number, since it is larger than the sum of its proper divisors (77530).

103364 is a wasteful number, since it uses less digits than its factorization.

103364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25845 (or 25843 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 103364 is about 321.5027216059. The cubic root of 103364 is about 46.9306355701.

Adding to 103364 its reverse (463301), we get a palindrome (566665).

The spelling of 103364 in words is "one hundred three thousand, three hundred sixty-four".