105406421 has 2 divisors, whose sum is σ = 105406422. Its totient is φ = 105406420.

The previous prime is 105406397. The next prime is 105406423. The reversal of 105406421 is 124604501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59505796 + 45900625 = 7714^2 + 6775^2 .

It is a cyclic number.

It is not a de Polignac number, because 105406421 - 2¹⁴ = 105390037 is a prime.

It is a super-2 number, since 2×105406421² = 22221027176058482, which contains 22 as substring.

Together with 105406423, 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 (105406423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52703210 + 52703211.

It is an arithmetic number, because the mean of its divisors is an integer number (52703211).

Almost surely, 2^105406421 is an apocalyptic number.

It is an amenable number.

105406421 is a deficient number, since it is larger than the sum of its proper divisors (1).

105406421 is an equidigital number, since it uses as much as digits as its factorization.

105406421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 105406421 is about 10266.7629270379. The cubic root of 105406421 is about 472.3773032291.

It can be divided in two parts, 10540 and 6421, that added together give a palindrome (16961).

The spelling of 105406421 in words is "one hundred five million, four hundred six thousand, four hundred twenty-one".