105311627 has 2 divisors, whose sum is σ = 105311628. Its totient is φ = 105311626.

The previous prime is 105311599. The next prime is 105311659. The reversal of 105311627 is 726113501.

It is a weak prime.

It is an emirp because it is prime and its reverse (726113501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105311627 - 2¹⁴ = 105295243 is a prime.

It is a super-2 number, since 2×105311627² = 22181077562774258, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105311596 and 105311605.

It is not a weakly prime, because it can be changed into another prime (155311627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52655813 + 52655814.

It is an arithmetic number, because the mean of its divisors is an integer number (52655814).

Almost surely, 2^105311627 is an apocalyptic number.

105311627 is a deficient number, since it is larger than the sum of its proper divisors (1).

105311627 is an equidigital number, since it uses as much as digits as its factorization.

105311627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 105311627 is about 10262.1453410094. The cubic root of 105311627 is about 472.2356547926.

The spelling of 105311627 in words is "one hundred five million, three hundred eleven thousand, six hundred twenty-seven".