105865837379 has 2 divisors, whose sum is σ = 105865837380. Its totient is φ = 105865837378.

The previous prime is 105865837351. The next prime is 105865837381. The reversal of 105865837379 is 973738568501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105865837379 - 2⁸ = 105865837123 is a prime.

It is a super-2 number, since 2×105865837379² (a number of 23 digits) contains 22 as substring.

Together with 105865837381, 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 (105865837309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52932918689 + 52932918690.

It is an arithmetic number, because the mean of its divisors is an integer number (52932918690).

Almost surely, 2^105865837379 is an apocalyptic number.

105865837379 is a deficient number, since it is larger than the sum of its proper divisors (1).

105865837379 is an equidigital number, since it uses as much as digits as its factorization.

105865837379 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38102400, while the sum is 62.

The spelling of 105865837379 in words is "one hundred five billion, eight hundred sixty-five million, eight hundred thirty-seven thousand, three hundred seventy-nine".