106105621621 has 2 divisors, whose sum is σ = 106105621622. Its totient is φ = 106105621620.

The previous prime is 106105621613. The next prime is 106105621627. The reversal of 106105621621 is 126126501601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53430322500 + 52675299121 = 231150^2 + 229511^2 .

It is an emirp because it is prime and its reverse (126126501601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106105621621 - 2³ = 106105621613 is a prime.

It is a super-2 number, since 2×106105621621² (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 (106105621627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53052810810 + 53052810811.

It is an arithmetic number, because the mean of its divisors is an integer number (53052810811).

Almost surely, 2^106105621621 is an apocalyptic number.

It is an amenable number.

106105621621 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105621621 is an equidigital number, since it uses as much as digits as its factorization.

106105621621 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 106105621621 in words is "one hundred six billion, one hundred five million, six hundred twenty-one thousand, six hundred twenty-one".