105655621 has 2 divisors, whose sum is σ = 105655622. Its totient is φ = 105655620.

The previous prime is 105655619. The next prime is 105655639. The reversal of 105655621 is 126556501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101304225 + 4351396 = 10065^2 + 2086^2 .

It is a cyclic number.

It is not a de Polignac number, because 105655621 - 2¹ = 105655619 is a prime.

It is a super-2 number, since 2×105655621² = 22326220497791282, which contains 22 as substring.

Together with 105655619, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105655651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52827810 + 52827811.

It is an arithmetic number, because the mean of its divisors is an integer number (52827811).

Almost surely, 2^105655621 is an apocalyptic number.

It is an amenable number.

105655621 is a deficient number, since it is larger than the sum of its proper divisors (1).

105655621 is an equidigital number, since it uses as much as digits as its factorization.

105655621 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 105655621 is about 10278.8920122745. The cubic root of 105655621 is about 472.7492722761.

It can be divided in two parts, 105655 and 621, that added together give a square (106276 = 326²).

The spelling of 105655621 in words is "one hundred five million, six hundred fifty-five thousand, six hundred twenty-one".