105112304 has 80 divisors (see below), whose sum is σ = 230985216. Its totient is φ = 45926400.

The previous prime is 105112243. The next prime is 105112307. The reversal of 105112304 is 403211501.

It is a super-2 number, since 2×105112304² = 22097192904376832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105112307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802319 + ... + 802449.

Almost surely, 2^105112304 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 105112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492608).

105112304 is an abundant number, since it is smaller than the sum of its proper divisors (125872912).

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

105112304 is a wasteful number, since it uses less digits than its factorization.

105112304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105112304 is about 10252.4291755661. The cubic root of 105112304 is about 471.9375336274.

Adding to 105112304 its reverse (403211501), we get a palindrome (508323805).

The spelling of 105112304 in words is "one hundred five million, one hundred twelve thousand, three hundred four".