105368228527 has 2 divisors, whose sum is σ = 105368228528. Its totient is φ = 105368228526.

The previous prime is 105368228437. The next prime is 105368228551. The reversal of 105368228527 is 725822863501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105368228527 - 2¹⁵ = 105368195759 is a prime.

It is a super-2 number, since 2×105368228527² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105368228587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52684114263 + 52684114264.

It is an arithmetic number, because the mean of its divisors is an integer number (52684114264).

Almost surely, 2^105368228527 is an apocalyptic number.

105368228527 is a deficient number, since it is larger than the sum of its proper divisors (1).

105368228527 is an equidigital number, since it uses as much as digits as its factorization.

105368228527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 105368228527 in words is "one hundred five billion, three hundred sixty-eight million, two hundred twenty-eight thousand, five hundred twenty-seven".