106105060506121 has 2 divisors, whose sum is σ = 106105060506122. Its totient is φ = 106105060506120.

The previous prime is 106105060506077. The next prime is 106105060506131. The reversal of 106105060506121 is 121605060501601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101494764440521 + 4610296065600 = 10074461^2 + 2147160^2 .

It is a cyclic number.

It is not a de Polignac number, because 106105060506121 - 2¹⁷ = 106105060375049 is a prime.

It is a super-2 number, since 2×106105060506121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106105060506131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53052530253060 + 53052530253061.

It is an arithmetic number, because the mean of its divisors is an integer number (53052530253061).

Almost surely, 2^{106105060506121} is an apocalyptic number.

It is an amenable number.

106105060506121 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105060506121 is an equidigital number, since it uses as much as digits as its factorization.

106105060506121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 106105060506121 in words is "one hundred six trillion, one hundred five billion, sixty million, five hundred six thousand, one hundred twenty-one".