106621 has 2 divisors, whose sum is σ = 106622. Its totient is φ = 106620.

The previous prime is 106619. The next prime is 106627. The reversal of 106621 is 126601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99225 + 7396 = 315^2 + 86^2 .

It is an emirp because it is prime and its reverse (126601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106621 - 2¹ = 106619 is a prime.

It is a super-2 number, since 2×106621² = 22736075282, which contains 22 as substring.

Together with 106619, it forms a pair of twin primes.

It is equal to p₁₀₁₅₉ and since 106621 and 10159 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 106595 and 106604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53310 + 53311.

It is an arithmetic number, because the mean of its divisors is an integer number (53311).

2¹⁰⁶⁶²¹ is an apocalyptic number.

It is an amenable number.

106621 is a deficient number, since it is larger than the sum of its proper divisors (1).

106621 is an equidigital number, since it uses as much as digits as its factorization.

106621 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 106621 is about 326.5287123669. The cubic root of 106621 is about 47.4184751163.

It can be divided in two parts, 106 and 621, that added together give a palindrome (727).

The spelling of 106621 in words is "one hundred six thousand, six hundred twenty-one".