105610166507 has 2 divisors, whose sum is σ = 105610166508. Its totient is φ = 105610166506.

The previous prime is 105610166429. The next prime is 105610166521. The reversal of 105610166507 is 705661016501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105610166507 - 2²⁶ = 105543057643 is a prime.

It is a super-2 number, since 2×105610166507² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105610166527) 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, 52805083253 + 52805083254.

It is an arithmetic number, because the mean of its divisors is an integer number (52805083254).

Almost surely, 2^105610166507 is an apocalyptic number.

105610166507 is a deficient number, since it is larger than the sum of its proper divisors (1).

105610166507 is an equidigital number, since it uses as much as digits as its factorization.

105610166507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 105610166507 in words is "one hundred five billion, six hundred ten million, one hundred sixty-six thousand, five hundred seven".