105166129 has 2 divisors, whose sum is σ = 105166130. Its totient is φ = 105166128.

The previous prime is 105166031. The next prime is 105166147. The reversal of 105166129 is 921661501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68442529 + 36723600 = 8273^2 + 6060^2 .

It is a cyclic number.

It is not a de Polignac number, because 105166129 - 2⁷ = 105166001 is a prime.

It is a super-2 number, since 2×105166129² = 22119829377689282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105166129.

It is not a weakly prime, because it can be changed into another prime (105166429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52583064 + 52583065.

It is an arithmetic number, because the mean of its divisors is an integer number (52583065).

Almost surely, 2^105166129 is an apocalyptic number.

It is an amenable number.

105166129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105166129 is an equidigital number, since it uses as much as digits as its factorization.

105166129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 105166129 is about 10255.0538272600. The cubic root of 105166129 is about 472.0180751122.

The spelling of 105166129 in words is "one hundred five million, one hundred sixty-six thousand, one hundred twenty-nine".