105661627 has 2 divisors, whose sum is σ = 105661628. Its totient is φ = 105661626.

The previous prime is 105661597. The next prime is 105661639. The reversal of 105661627 is 726166501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105661627 - 2¹¹ = 105659579 is a prime.

It is a super-2 number, since 2×105661627² = 22328758840574258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105661592 and 105661601.

It is not a weakly prime, because it can be changed into another prime (105661027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52830813 + 52830814.

It is an arithmetic number, because the mean of its divisors is an integer number (52830814).

Almost surely, 2^105661627 is an apocalyptic number.

105661627 is a deficient number, since it is larger than the sum of its proper divisors (1).

105661627 is an equidigital number, since it uses as much as digits as its factorization.

105661627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 105661627 is about 10279.1841602337. The cubic root of 105661627 is about 472.7582299265.

The spelling of 105661627 in words is "one hundred five million, six hundred sixty-one thousand, six hundred twenty-seven".