10106105123 has 2 divisors, whose sum is σ = 10106105124. Its totient is φ = 10106105122.

The previous prime is 10106105083. The next prime is 10106105131. The reversal of 10106105123 is 32150160101.

It is a strong prime.

It is an emirp because it is prime and its reverse (32150160101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10106105123 - 2¹⁴ = 10106088739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10106105095 and 10106105104.

It is not a weakly prime, because it can be changed into another prime (10106105153) 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, 5053052561 + 5053052562.

It is an arithmetic number, because the mean of its divisors is an integer number (5053052562).

Almost surely, 2^10106105123 is an apocalyptic number.

10106105123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106105123 is an equidigital number, since it uses as much as digits as its factorization.

10106105123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 10106105123 its reverse (32150160101), we get a palindrome (42256265224).

The spelling of 10106105123 in words is "ten billion, one hundred six million, one hundred five thousand, one hundred twenty-three".