105941257 has 2 divisors, whose sum is σ = 105941258. Its totient is φ = 105941256.

The previous prime is 105941219. The next prime is 105941261. The reversal of 105941257 is 752149501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100080016 + 5861241 = 10004^2 + 2421^2 .

It is an emirp because it is prime and its reverse (752149501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105941257 is a prime.

It is a super-2 number, since 2×105941257² = 22447099869480098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105941267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52970628 + 52970629.

It is an arithmetic number, because the mean of its divisors is an integer number (52970629).

Almost surely, 2^105941257 is an apocalyptic number.

It is an amenable number.

105941257 is a deficient number, since it is larger than the sum of its proper divisors (1).

105941257 is an equidigital number, since it uses as much as digits as its factorization.

105941257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 105941257 is about 10292.7769333645. The cubic root of 105941257 is about 473.1749089047.

The spelling of 105941257 in words is "one hundred five million, nine hundred forty-one thousand, two hundred fifty-seven".