105993401 has 2 divisors, whose sum is σ = 105993402. Its totient is φ = 105993400.

The previous prime is 105993383. The next prime is 105993403. The reversal of 105993401 is 104399501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58369600 + 47623801 = 7640^2 + 6901^2 .

It is an emirp because it is prime and its reverse (104399501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105993401 - 2²² = 101799097 is a prime.

It is a super-2 number, since 2×105993401² = 22469202111093602, which contains 22 as substring.

Together with 105993403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105993403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52996700 + 52996701.

It is an arithmetic number, because the mean of its divisors is an integer number (52996701).

Almost surely, 2^105993401 is an apocalyptic number.

It is an amenable number.

105993401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105993401 is an equidigital number, since it uses as much as digits as its factorization.

105993401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 105993401 is about 10295.3096602288. The cubic root of 105993401 is about 473.2525279747.

The spelling of 105993401 in words is "one hundred five million, nine hundred ninety-three thousand, four hundred one".