105722257 has 2 divisors, whose sum is σ = 105722258. Its totient is φ = 105722256.

The previous prime is 105722219. The next prime is 105722263. The reversal of 105722257 is 752227501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80712256 + 25010001 = 8984^2 + 5001^2 .

It is a cyclic number.

It is not a de Polignac number, because 105722257 - 2¹⁵ = 105689489 is a prime.

It is a super-2 number, since 2×105722257² = 22354391250348098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105722207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52861128 + 52861129.

It is an arithmetic number, because the mean of its divisors is an integer number (52861129).

Almost surely, 2^105722257 is an apocalyptic number.

It is an amenable number.

105722257 is a deficient number, since it is larger than the sum of its proper divisors (1).

105722257 is an equidigital number, since it uses as much as digits as its factorization.

105722257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 105722257 is about 10282.1329013002. The cubic root of 105722257 is about 472.8486375531.

Adding to 105722257 its reverse (752227501), we get a palindrome (857949758).

The spelling of 105722257 in words is "one hundred five million, seven hundred twenty-two thousand, two hundred fifty-seven".