105010661627 has 2 divisors, whose sum is σ = 105010661628. Its totient is φ = 105010661626.

The previous prime is 105010661557. The next prime is 105010661641. The reversal of 105010661627 is 726166010501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105010661627 is a prime.

It is a super-2 number, since 2×105010661627² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105010661027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505330813 + 52505330814.

It is an arithmetic number, because the mean of its divisors is an integer number (52505330814).

Almost surely, 2^105010661627 is an apocalyptic number.

105010661627 is a deficient number, since it is larger than the sum of its proper divisors (1).

105010661627 is an equidigital number, since it uses as much as digits as its factorization.

105010661627 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 35.

The spelling of 105010661627 in words is "one hundred five billion, ten million, six hundred sixty-one thousand, six hundred twenty-seven".