105166241 has 2 divisors, whose sum is σ = 105166242. Its totient is φ = 105166240.

The previous prime is 105166223. The next prime is 105166253. The reversal of 105166241 is 142661501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71757841 + 33408400 = 8471^2 + 5780^2 .

It is a cyclic number.

It is not a de Polignac number, because 105166241 - 2⁶ = 105166177 is a prime.

It is a super-2 number, since 2×105166241² = 22119876492140162, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105166241.

It is not a weakly prime, because it can be changed into another prime (105162241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52583120 + 52583121.

It is an arithmetic number, because the mean of its divisors is an integer number (52583121).

Almost surely, 2^105166241 is an apocalyptic number.

It is an amenable number.

105166241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105166241 is an equidigital number, since it uses as much as digits as its factorization.

105166241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 105166241 is about 10255.0592879807. The cubic root of 105166241 is about 472.0182426756.

The spelling of 105166241 in words is "one hundred five million, one hundred sixty-six thousand, two hundred forty-one".