105815657 has 2 divisors, whose sum is σ = 105815658. Its totient is φ = 105815656.

The previous prime is 105815627. The next prime is 105815669. The reversal of 105815657 is 756518501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99520576 + 6295081 = 9976^2 + 2509^2 .

It is an emirp because it is prime and its reverse (756518501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105815657 - 2¹⁰ = 105814633 is a prime.

It is a super-2 number, since 2×105815657² = 22393906532683298, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105815657.

It is not a weakly prime, because it can be changed into another prime (105815627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52907828 + 52907829.

It is an arithmetic number, because the mean of its divisors is an integer number (52907829).

Almost surely, 2^105815657 is an apocalyptic number.

It is an amenable number.

105815657 is a deficient number, since it is larger than the sum of its proper divisors (1).

105815657 is an equidigital number, since it uses as much as digits as its factorization.

105815657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42000, while the sum is 38.

The square root of 105815657 is about 10286.6737578286. The cubic root of 105815657 is about 472.9878421219.

The spelling of 105815657 in words is "one hundred five million, eight hundred fifteen thousand, six hundred fifty-seven".