105457697 has 2 divisors, whose sum is σ = 105457698. Its totient is φ = 105457696.

The previous prime is 105457687. The next prime is 105457711. The reversal of 105457697 is 796754501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102738496 + 2719201 = 10136^2 + 1649^2 .

It is an emirp because it is prime and its reverse (796754501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105457697 - 2⁶ = 105457633 is a prime.

It is a super-2 number, since 2×105457697² = 22242651713087618, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105457607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52728848 + 52728849.

It is an arithmetic number, because the mean of its divisors is an integer number (52728849).

Almost surely, 2^105457697 is an apocalyptic number.

It is an amenable number.

105457697 is a deficient number, since it is larger than the sum of its proper divisors (1).

105457697 is an equidigital number, since it uses as much as digits as its factorization.

105457697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 44.

The square root of 105457697 is about 10269.2598077953. The cubic root of 105457697 is about 472.4538883549.

The spelling of 105457697 in words is "one hundred five million, four hundred fifty-seven thousand, six hundred ninety-seven".