105601605029 has 2 divisors, whose sum is σ = 105601605030. Its totient is φ = 105601605028.

The previous prime is 105601604993. The next prime is 105601605073. The reversal of 105601605029 is 920506106501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88089052804 + 17512552225 = 296798^2 + 132335^2 .

It is a cyclic number.

It is not a de Polignac number, because 105601605029 - 2¹⁶ = 105601539493 is a prime.

It is a super-2 number, since 2×105601605029² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105601605029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105601605929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800802514 + 52800802515.

It is an arithmetic number, because the mean of its divisors is an integer number (52800802515).

Almost surely, 2^105601605029 is an apocalyptic number.

It is an amenable number.

105601605029 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601605029 is an equidigital number, since it uses as much as digits as its factorization.

105601605029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 35.

The spelling of 105601605029 in words is "one hundred five billion, six hundred one million, six hundred five thousand, twenty-nine".