105601010129 has 2 divisors, whose sum is σ = 105601010130. Its totient is φ = 105601010128.

The previous prime is 105601010051. The next prime is 105601010167. The reversal of 105601010129 is 921010106501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105556761025 + 44249104 = 324895^2 + 6652^2 .

It is a cyclic number.

It is not a de Polignac number, because 105601010129 - 2⁸ = 105601009873 is a prime.

It is a super-2 number, since 2×105601010129² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105601010098 and 105601010107.

It is not a weakly prime, because it can be changed into another prime (105601010029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800505064 + 52800505065.

It is an arithmetic number, because the mean of its divisors is an integer number (52800505065).

Almost surely, 2^105601010129 is an apocalyptic number.

It is an amenable number.

105601010129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601010129 is an equidigital number, since it uses as much as digits as its factorization.

105601010129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 26.

The spelling of 105601010129 in words is "one hundred five billion, six hundred one million, ten thousand, one hundred twenty-nine".