105601129 has 2 divisors, whose sum is σ = 105601130. Its totient is φ = 105601128.

The previous prime is 105601079. The next prime is 105601157. The reversal of 105601129 is 921106501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83997225 + 21603904 = 9165^2 + 4648^2 .

It is a cyclic number.

It is not a de Polignac number, because 105601129 - 2¹⁹ = 105076841 is a prime.

It is a super-2 number, since 2×105601129² = 22303196892149282, which contains 22 as substring.

It is equal to p_6065224 and since 105601129 and 6065224 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105601429) 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, 52800564 + 52800565.

It is an arithmetic number, because the mean of its divisors is an integer number (52800565).

Almost surely, 2^105601129 is an apocalyptic number.

It is an amenable number.

105601129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601129 is an equidigital number, since it uses as much as digits as its factorization.

105601129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 105601129 is about 10276.2409956170. The cubic root of 105601129 is about 472.6679846515.

The spelling of 105601129 in words is "one hundred five million, six hundred one thousand, one hundred twenty-nine".