105500106121 has 2 divisors, whose sum is σ = 105500106122. Its totient is φ = 105500106120.

The previous prime is 105500106071. The next prime is 105500106143. The reversal of 105500106121 is 121601005501.

It is a happy number.

It is an a-pointer prime, because the next prime (105500106143) can be obtained adding 105500106121 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103886959225 + 1613146896 = 322315^2 + 40164^2 .

It is a cyclic number.

It is not a de Polignac number, because 105500106121 - 2⁹ = 105500105609 is a prime.

It is a super-2 number, since 2×105500106121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105500106092 and 105500106101.

It is not a weakly prime, because it can be changed into another prime (105500106721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52750053060 + 52750053061.

It is an arithmetic number, because the mean of its divisors is an integer number (52750053061).

Almost surely, 2^105500106121 is an apocalyptic number.

It is an amenable number.

105500106121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105500106121 is an equidigital number, since it uses as much as digits as its factorization.

105500106121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 22.

The spelling of 105500106121 in words is "one hundred five billion, five hundred million, one hundred six thousand, one hundred twenty-one".