105591257 has 2 divisors, whose sum is σ = 105591258. Its totient is φ = 105591256.

The previous prime is 105591253. The next prime is 105591259. The reversal of 105591257 is 752195501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86415616 + 19175641 = 9296^2 + 4379^2 .

It is a cyclic number.

It is not a de Polignac number, because 105591257 - 2² = 105591253 is a prime.

It is a super-2 number, since 2×105591257² = 22299027109680098, which contains 22 as substring.

Together with 105591259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105591253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52795628 + 52795629.

It is an arithmetic number, because the mean of its divisors is an integer number (52795629).

Almost surely, 2^105591257 is an apocalyptic number.

It is an amenable number.

105591257 is a deficient number, since it is larger than the sum of its proper divisors (1).

105591257 is an equidigital number, since it uses as much as digits as its factorization.

105591257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15750, while the sum is 35.

The square root of 105591257 is about 10275.7606531098. The cubic root of 105591257 is about 472.6532552517.

The spelling of 105591257 in words is "one hundred five million, five hundred ninety-one thousand, two hundred fifty-seven".