105601050029 has 2 divisors, whose sum is σ = 105601050030. Its totient is φ = 105601050028.

The previous prime is 105601050017. The next prime is 105601050031. The reversal of 105601050029 is 920050106501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98908992004 + 6692058025 = 314498^2 + 81805^2 .

It is a cyclic number.

It is not a de Polignac number, because 105601050029 - 2⁴ = 105601050013 is a prime.

It is a super-2 number, since 2×105601050029² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 105601050031, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105601049983 and 105601050010.

It is a congruent number.

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, 52800525014 + 52800525015.

It is an arithmetic number, because the mean of its divisors is an integer number (52800525015).

Almost surely, 2^105601050029 is an apocalyptic number.

It is an amenable number.

105601050029 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601050029 is an equidigital number, since it uses as much as digits as its factorization.

105601050029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 29.

The spelling of 105601050029 in words is "one hundred five billion, six hundred one million, fifty thousand, twenty-nine".