105968399 has 2 divisors, whose sum is σ = 105968400. Its totient is φ = 105968398.

The previous prime is 105968381. The next prime is 105968411. The reversal of 105968399 is 993869501.

It is a strong prime.

It is an emirp because it is prime and its reverse (993869501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105968399 - 2²⁰ = 104919823 is a prime.

It is a super-3 number, since 3×105968399³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105968099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52984199 + 52984200.

It is an arithmetic number, because the mean of its divisors is an integer number (52984200).

Almost surely, 2^105968399 is an apocalyptic number.

105968399 is a deficient number, since it is larger than the sum of its proper divisors (1).

105968399 is an equidigital number, since it uses as much as digits as its factorization.

105968399 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 524880, while the sum is 50.

The square root of 105968399 is about 10294.0953463624. The cubic root of 105968399 is about 473.2153143681.

The spelling of 105968399 in words is "one hundred five million, nine hundred sixty-eight thousand, three hundred ninety-nine".