106542043506529 has 2 divisors, whose sum is σ = 106542043506530. Its totient is φ = 106542043506528.

The previous prime is 106542043506461. The next prime is 106542043506581. The reversal of 106542043506529 is 925605340245601.

It is an a-pointer prime, because the next prime (106542043506581) can be obtained adding 106542043506529 to its sum of digits (52).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104008423196304 + 2533620310225 = 10198452^2 + 1591735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106542043506529 is a prime.

It is a super-2 number, since 2×106542043506529² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106542043516529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53271021753264 + 53271021753265.

It is an arithmetic number, because the mean of its divisors is an integer number (53271021753265).

Almost surely, 2^{106542043506529} is an apocalyptic number.

It is an amenable number.

106542043506529 is a deficient number, since it is larger than the sum of its proper divisors (1).

106542043506529 is an equidigital number, since it uses as much as digits as its factorization.

106542043506529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776000, while the sum is 52.

The spelling of 106542043506529 in words is "one hundred six trillion, five hundred forty-two billion, forty-three million, five hundred six thousand, five hundred twenty-nine".