105542257 has 2 divisors, whose sum is σ = 105542258. Its totient is φ = 105542256.

The previous prime is 105542233. The next prime is 105542287. The reversal of 105542257 is 752245501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70543201 + 34999056 = 8399^2 + 5916^2 .

It is a cyclic number.

It is not a de Polignac number, because 105542257 - 2²³ = 97153649 is a prime.

It is a super-2 number, since 2×105542257² = 22278336025308098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105542287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52771128 + 52771129.

It is an arithmetic number, because the mean of its divisors is an integer number (52771129).

Almost surely, 2^105542257 is an apocalyptic number.

It is an amenable number.

105542257 is a deficient number, since it is larger than the sum of its proper divisors (1).

105542257 is an equidigital number, since it uses as much as digits as its factorization.

105542257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14000, while the sum is 31.

The square root of 105542257 is about 10273.3761247216. The cubic root of 105542257 is about 472.5801317956.

Adding to 105542257 its reverse (752245501), we get a palindrome (857787758).

The spelling of 105542257 in words is "one hundred five million, five hundred forty-two thousand, two hundred fifty-seven".