105634304 has 40 divisors (see below), whose sum is σ = 212354340. Its totient is φ = 52494336.

The previous prime is 105634289. The next prime is 105634307. The reversal of 105634304 is 403436501.

It can be written as a sum of positive squares in 2 ways, for example, as 103225600 + 2408704 = 10160^2 + 1552^2 .

It is a super-2 number, since 2×105634304² = 22317212363128832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105634307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98282 + ... + 99350.

Almost surely, 2^105634304 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 105634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106177170).

105634304 is an abundant number, since it is smaller than the sum of its proper divisors (106720036).

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

105634304 is an equidigital number, since it uses as much as digits as its factorization.

105634304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 105634304 is about 10277.8550291391. The cubic root of 105634304 is about 472.7174762897.

The spelling of 105634304 in words is "one hundred five million, six hundred thirty-four thousand, three hundred four".