105268621 has 2 divisors, whose sum is σ = 105268622. Its totient is φ = 105268620.

The previous prime is 105268619. The next prime is 105268627. The reversal of 105268621 is 126862501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102292996 + 2975625 = 10114^2 + 1725^2 .

It is a cyclic number.

It is not a de Polignac number, because 105268621 - 2¹ = 105268619 is a prime.

It is a super-2 number, since 2×105268621² = 22162965134483282, which contains 22 as substring.

Together with 105268619, 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 (105268627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52634310 + 52634311.

It is an arithmetic number, because the mean of its divisors is an integer number (52634311).

Almost surely, 2^105268621 is an apocalyptic number.

It is an amenable number.

105268621 is a deficient number, since it is larger than the sum of its proper divisors (1).

105268621 is an equidigital number, since it uses as much as digits as its factorization.

105268621 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 105268621 is about 10260.0497562146. The cubic root of 105268621 is about 472.1713639120.

The spelling of 105268621 in words is "one hundred five million, two hundred sixty-eight thousand, six hundred twenty-one".