105009281 has 8 divisors (see below), whose sum is σ = 113256360. Its totient is φ = 96786432.

The previous prime is 105009277. The next prime is 105009299. The reversal of 105009281 is 182900501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 103530625 = 1216^2 + 10175^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105009281 - 2² = 105009277 is a prime.

It is a super-2 number, since 2×105009281² = 22053898192273922, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105009281.

It is not an unprimeable number, because it can be changed into a prime (105009251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3521 + ... + 14913.

It is an arithmetic number, because the mean of its divisors is an integer number (14157045).

Almost surely, 2^105009281 is an apocalyptic number.

It is an amenable number.

105009281 is a deficient number, since it is larger than the sum of its proper divisors (8247079).

105009281 is a wasteful number, since it uses less digits than its factorization.

105009281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12115.

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 105009281 is about 10247.4036223816. The cubic root of 105009281 is about 471.7832975960.

Adding to 105009281 its reverse (182900501), we get a palindrome (287909782).

The spelling of 105009281 in words is "one hundred five million, nine thousand, two hundred eighty-one".