105368257 has 4 divisors (see below), whose sum is σ = 106552260. Its totient is φ = 104184256.

The previous prime is 105368231. The next prime is 105368297. The reversal of 105368257 is 752863501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 74632321 + 30735936 = 8639^2 + 5544^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105368257 is a prime.

It is a super-2 number, since 2×105368257² = 22204939166436098, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105368297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 591868 + ... + 592045.

It is an arithmetic number, because the mean of its divisors is an integer number (26638065).

Almost surely, 2^105368257 is an apocalyptic number.

It is an amenable number.

105368257 is a deficient number, since it is larger than the sum of its proper divisors (1184003).

105368257 is an equidigital number, since it uses as much as digits as its factorization.

105368257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184002.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 105368257 is about 10264.9041398349. The cubic root of 105368257 is about 472.3202858816.

It can be divided in two parts, 105368 and 257, that added together give a square (105625 = 325²).

The spelling of 105368257 in words is "one hundred five million, three hundred sixty-eight thousand, two hundred fifty-seven".