106105608529 has 2 divisors, whose sum is σ = 106105608530. Its totient is φ = 106105608528.

The previous prime is 106105608503. The next prime is 106105608559. The reversal of 106105608529 is 925806501601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103143745600 + 2961862929 = 321160^2 + 54423^2 .

It is a cyclic number.

It is not a de Polignac number, because 106105608529 - 2¹⁵ = 106105575761 is a prime.

It is a super-2 number, since 2×106105608529² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106105608559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53052804264 + 53052804265.

It is an arithmetic number, because the mean of its divisors is an integer number (53052804265).

Almost surely, 2^106105608529 is an apocalyptic number.

It is an amenable number.

106105608529 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105608529 is an equidigital number, since it uses as much as digits as its factorization.

106105608529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 106105608529 in words is "one hundred six billion, one hundred five million, six hundred eight thousand, five hundred twenty-nine".