105250304 has 40 divisors (see below), whose sum is σ = 211556400. Its totient is φ = 52310016.

The previous prime is 105250297. The next prime is 105250333. The reversal of 105250304 is 403052501.

It is a super-2 number, since 2×105250304² = 22155252984184832, 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 3 ways as a sum of consecutive naturals, for example, 101372 + ... + 102404.

It is an arithmetic number, because the mean of its divisors is an integer number (5288910).

Almost surely, 2^105250304 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 105250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105778200).

105250304 is an abundant number, since it is smaller than the sum of its proper divisors (106306096).

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

105250304 is an equidigital number, since it uses as much as digits as its factorization.

105250304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105250304 is about 10259.1570803843. The cubic root of 105250304 is about 472.1439759956.

It can be divided in two parts, 105250 and 304, that multiplied together give a triangular number (31996000 = T₇₉₉₉).

The spelling of 105250304 in words is "one hundred five million, two hundred fifty thousand, three hundred four".