10505249 has 8 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 10126800.

The previous prime is 10505207. The next prime is 10505263. The reversal of 10505249 is 94250501.

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 10505249 - 2¹⁶ = 10439713 is a prime.

It is a super-2 number, since 2×10505249² = 220720513104002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10505449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10334 + ... + 11304.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^10505249 is an apocalyptic number.

It is an amenable number.

10505249 is a deficient number, since it is larger than the sum of its proper divisors (381151).

10505249 is an equidigital number, since it uses as much as digits as its factorization.

10505249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 10505249 is about 3241.1801862902. The cubic root of 10505249 is about 219.0124399569.

The spelling of 10505249 in words is "ten million, five hundred five thousand, two hundred forty-nine".