105252293 has 8 divisors (see below), whose sum is σ = 106047480. Its totient is φ = 104460480.

The previous prime is 105252271. The next prime is 105252299. The reversal of 105252293 is 392252501.

It can be written as a sum of positive squares in 4 ways, for example, as 50225569 + 55026724 = 7087^2 + 7418^2 .

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 105252293 - 2²⁰ = 104203717 is a prime.

It is a super-2 number, since 2×105252293² = 22156090363515698, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105252299) 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 7 ways as a sum of consecutive naturals, for example, 105071 + ... + 106067.

It is an arithmetic number, because the mean of its divisors is an integer number (13255935).

Almost surely, 2^105252293 is an apocalyptic number.

It is an amenable number.

105252293 is a deficient number, since it is larger than the sum of its proper divisors (795187).

105252293 is an equidigital number, since it uses as much as digits as its factorization.

105252293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 105252293 is about 10259.2540177149. The cubic root of 105252293 is about 472.1469501389.

The spelling of 105252293 in words is "one hundred five million, two hundred fifty-two thousand, two hundred ninety-three".