105815655331 has 2 divisors, whose sum is σ = 105815655332. Its totient is φ = 105815655330.

The previous prime is 105815655307. The next prime is 105815655373. The reversal of 105815655331 is 133556518501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105815655331 - 2¹¹ = 105815653283 is a prime.

It is a super-2 number, since 2×105815655331² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105815655301) 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, 52907827665 + 52907827666.

It is an arithmetic number, because the mean of its divisors is an integer number (52907827666).

Almost surely, 2^105815655331 is an apocalyptic number.

105815655331 is a deficient number, since it is larger than the sum of its proper divisors (1).

105815655331 is an equidigital number, since it uses as much as digits as its factorization.

105815655331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270000, while the sum is 43.

The spelling of 105815655331 in words is "one hundred five billion, eight hundred fifteen million, six hundred fifty-five thousand, three hundred thirty-one".