105314304 has 96 divisors (see below), whose sum is σ = 286387920. Its totient is φ = 34406400.

The previous prime is 105314299. The next prime is 105314311. The reversal of 105314304 is 403413501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105314304² = 22182205254008832, which contains 22 as substring.

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, 374644 + ... + 374924.

Almost surely, 2^105314304 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 105314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143193960).

105314304 is an abundant number, since it is smaller than the sum of its proper divisors (181073616).

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

105314304 is an equidigital number, since it uses as much as digits as its factorization.

105314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105314304 is about 10262.2757709974. The cubic root of 105314304 is about 472.2396561366.

Adding to 105314304 its reverse (403413501), we get a palindrome (508727805).

The spelling of 105314304 in words is "one hundred five million, three hundred fourteen thousand, three hundred four".