105204 has 24 divisors (see below), whose sum is σ = 268128. Its totient is φ = 31840.

The previous prime is 105199. The next prime is 105211. The reversal of 105204 is 402501.

It is a super-2 number, since 2×105204² = 22135763232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 105204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2¹⁰⁵²⁰⁴ is an apocalyptic number.

It is an amenable number.

105204 is an abundant number, since it is smaller than the sum of its proper divisors (162924).

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

105204 is a wasteful number, since it uses less digits than its factorization.

105204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 105204 is about 324.3516610101. The cubic root of 105204 is about 47.2074727228.

Adding to 105204 its reverse (402501), we get a palindrome (507705).

The spelling of 105204 in words is "one hundred five thousand, two hundred four".