105833611108331 has 2 divisors, whose sum is σ = 105833611108332. Its totient is φ = 105833611108330.

The previous prime is 105833611108283. The next prime is 105833611108349. The reversal of 105833611108331 is 133801116338501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105833611108331 - 2³⁴ = 105816431239147 is a prime.

It is a super-2 number, since 2×105833611108331² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (105833611008331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52916805554165 + 52916805554166.

It is an arithmetic number, because the mean of its divisors is an integer number (52916805554166).

Almost surely, 2^{105833611108331} is an apocalyptic number.

105833611108331 is a deficient number, since it is larger than the sum of its proper divisors (1).

105833611108331 is an equidigital number, since it uses as much as digits as its factorization.

105833611108331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 105833611108331 in words is "one hundred five trillion, eight hundred thirty-three billion, six hundred eleven million, one hundred eight thousand, three hundred thirty-one".