105804288 has 60 divisors (see below), whose sum is σ = 305371638. Its totient is φ = 35266560.

The previous prime is 105804263. The next prime is 105804289. The reversal of 105804288 is 882408501.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 23503104 = 9072^2 + 4848^2 .

It is a super-3 number, since 3×105804288³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105804289) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6873 + ... + 16088.

Almost surely, 2^105804288 is an apocalyptic number.

105804288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105804288 is an abundant number, since it is smaller than the sum of its proper divisors (199567350).

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

105804288 is an equidigital number, since it uses as much as digits as its factorization.

105804288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22985 (or 22966 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 105804288 is about 10286.1211348107. The cubic root of 105804288 is about 472.9709019969.

The spelling of 105804288 in words is "one hundred five million, eight hundred four thousand, two hundred eighty-eight".