106105621117 has 2 divisors, whose sum is σ = 106105621118. Its totient is φ = 106105621116.

The previous prime is 106105621073. The next prime is 106105621121. The reversal of 106105621117 is 711126501601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104299286116 + 1806335001 = 322954^2 + 42501^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106105621117 is a prime.

It is a super-2 number, since 2×106105621117² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106105631117) 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, 53052810558 + 53052810559.

It is an arithmetic number, because the mean of its divisors is an integer number (53052810559).

Almost surely, 2^106105621117 is an apocalyptic number.

It is an amenable number.

106105621117 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105621117 is an equidigital number, since it uses as much as digits as its factorization.

106105621117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 31.

The spelling of 106105621117 in words is "one hundred six billion, one hundred five million, six hundred twenty-one thousand, one hundred seventeen".