106304 has 28 divisors (see below), whose sum is σ = 231648. Its totient is φ = 48000.

The previous prime is 106303. The next prime is 106307. The reversal of 106304 is 403601.

It is a super-2 number, since 2×106304² = 22601080832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629 + ... + 779.

2¹⁰⁶³⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115824).

106304 is an abundant number, since it is smaller than the sum of its proper divisors (125344).

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

106304 is a wasteful number, since it uses less digits than its factorization.

106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 106304 is about 326.0429419570. The cubic root of 106304 is about 47.3714344195.

Adding to 106304 its reverse (403601), we get a palindrome (509905).

The spelling of 106304 in words is "one hundred six thousand, three hundred four".