106105621121 has 2 divisors, whose sum is σ = 106105621122. Its totient is φ = 106105621120.

The previous prime is 106105621117. The next prime is 106105621169. The reversal of 106105621121 is 121126501601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93547281025 + 12558340096 = 305855^2 + 112064^2 .

It is a cyclic number.

It is not a de Polignac number, because 106105621121 - 2² = 106105621117 is a prime.

It is a super-2 number, since 2×106105621121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106105621621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53052810560 + 53052810561.

It is an arithmetic number, because the mean of its divisors is an integer number (53052810561).

Almost surely, 2^106105621121 is an apocalyptic number.

It is an amenable number.

106105621121 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105621121 is an equidigital number, since it uses as much as digits as its factorization.

106105621121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 26.

The spelling of 106105621121 in words is "one hundred six billion, one hundred five million, six hundred twenty-one thousand, one hundred twenty-one".