110106100105931 has 2 divisors, whose sum is σ = 110106100105932. Its totient is φ = 110106100105930.

The previous prime is 110106100105913. The next prime is 110106100106011. The reversal of 110106100105931 is 139501001601011.

Together with previous prime (110106100105913) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 110106100105931 - 2⁴² = 105708053594827 is a prime.

It is a super-2 number, since 2×110106100105931² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110106100105894 and 110106100105903.

It is not a weakly prime, because it can be changed into another prime (110106100105831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55053050052965 + 55053050052966.

It is an arithmetic number, because the mean of its divisors is an integer number (55053050052966).

Almost surely, 2^{110106100105931} is an apocalyptic number.

110106100105931 is a deficient number, since it is larger than the sum of its proper divisors (1).

110106100105931 is an equidigital number, since it uses as much as digits as its factorization.

110106100105931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 29.

Adding to 110106100105931 its reverse (139501001601011), we get a palindrome (249607101706942).

The spelling of 110106100105931 in words is "one hundred ten trillion, one hundred six billion, one hundred million, one hundred five thousand, nine hundred thirty-one".