105474304 has 72 divisors (see below), whose sum is σ = 232562232. Its totient is φ = 47431680.

The previous prime is 105474289. The next prime is 105474319. The reversal of 105474304 is 403474501.

It is an interprime number because it is at equal distance from previous prime (105474289) and next prime (105474319).

It can be written as a sum of positive squares in 4 ways, for example, as 12390400 + 93083904 = 3520^2 + 9648^2 .

It is a super-2 number, since 2×105474304² = 22249657608568832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 136062 + ... + 136834.

It is an arithmetic number, because the mean of its divisors is an integer number (3230031).

Almost surely, 2^105474304 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 105474304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116281116).

105474304 is an abundant number, since it is smaller than the sum of its proper divisors (127087928).

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

105474304 is an equidigital number, since it uses as much as digits as its factorization.

105474304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 105474304 is about 10270.0683542029. The cubic root of 105474304 is about 472.4786870186.

The spelling of 105474304 in words is "one hundred five million, four hundred seventy-four thousand, three hundred four".