105559301 has 2 divisors, whose sum is σ = 105559302. Its totient is φ = 105559300.

The previous prime is 105559271. The next prime is 105559303. The reversal of 105559301 is 103955501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105555076 + 4225 = 10274^2 + 65^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105559301 is a prime.

It is a super-2 number, since 2×105559301² = 22285532055217202, which contains 22 as substring.

Together with 105559303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105559303) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52779650 + 52779651.

It is an arithmetic number, because the mean of its divisors is an integer number (52779651).

Almost surely, 2^105559301 is an apocalyptic number.

It is an amenable number.

105559301 is a deficient number, since it is larger than the sum of its proper divisors (1).

105559301 is an equidigital number, since it uses as much as digits as its factorization.

105559301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3375, while the sum is 29.

The square root of 105559301 is about 10274.2056140609. The cubic root of 105559301 is about 472.6055693864.

The spelling of 105559301 in words is "one hundred five million, five hundred fifty-nine thousand, three hundred one".