105076331 has 2 divisors, whose sum is σ = 105076332. Its totient is φ = 105076330.

The previous prime is 105076319. The next prime is 105076333. The reversal of 105076331 is 133670501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105076331 - 2¹⁰ = 105075307 is a prime.

It is a super-2 number, since 2×105076331² = 22082070672843122, which contains 22 as substring.

Together with 105076333, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105076331.

It is not a weakly prime, because it can be changed into another prime (105076333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52538165 + 52538166.

It is an arithmetic number, because the mean of its divisors is an integer number (52538166).

Almost surely, 2^105076331 is an apocalyptic number.

105076331 is a deficient number, since it is larger than the sum of its proper divisors (1).

105076331 is an equidigital number, since it uses as much as digits as its factorization.

105076331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 105076331 is about 10250.6746607236. The cubic root of 105076331 is about 471.8836898009.

The spelling of 105076331 in words is "one hundred five million, seventy-six thousand, three hundred thirty-one".