110106105242857 has 2 divisors, whose sum is σ = 110106105242858. Its totient is φ = 110106105242856.

The previous prime is 110106105242747. The next prime is 110106105242879. The reversal of 110106105242857 is 758242501601011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110096942158681 + 9163084176 = 10492709^2 + 95724^2 .

It is a cyclic number.

It is not a de Polignac number, because 110106105242857 - 2³⁵ = 110071745504489 is a prime.

It is a super-3 number, since 3×110106105242857³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (110106105222857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55053052621428 + 55053052621429.

It is an arithmetic number, because the mean of its divisors is an integer number (55053052621429).

Almost surely, 2^{110106105242857} is an apocalyptic number.

It is an amenable number.

110106105242857 is a deficient number, since it is larger than the sum of its proper divisors (1).

110106105242857 is an equidigital number, since it uses as much as digits as its factorization.

110106105242857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 134400, while the sum is 43.

Adding to 110106105242857 its reverse (758242501601011), we get a palindrome (868348606843868).

The spelling of 110106105242857 in words is "one hundred ten trillion, one hundred six billion, one hundred five million, two hundred forty-two thousand, eight hundred fifty-seven".