105382559 has 2 divisors, whose sum is σ = 105382560. Its totient is φ = 105382558.

The previous prime is 105382499. The next prime is 105382561. The reversal of 105382559 is 955283501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105382559 is a prime.

It is a super-2 number, since 2×105382559² = 22210967482776962, which contains 22 as substring.

Together with 105382561, 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 (105385559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52691279 + 52691280.

It is an arithmetic number, because the mean of its divisors is an integer number (52691280).

Almost surely, 2^105382559 is an apocalyptic number.

105382559 is a deficient number, since it is larger than the sum of its proper divisors (1).

105382559 is an equidigital number, since it uses as much as digits as its factorization.

105382559 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 38.

The square root of 105382559 is about 10265.6007617674. The cubic root of 105382559 is about 472.3416548065.

The spelling of 105382559 in words is "one hundred five million, three hundred eighty-two thousand, five hundred fifty-nine".