100106109923 has 2 divisors, whose sum is σ = 100106109924. Its totient is φ = 100106109922.

The previous prime is 100106109911. The next prime is 100106109937. The reversal of 100106109923 is 329901601001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100106109923 - 2¹⁰ = 100106108899 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100106109923.

It is not a weakly prime, because it can be changed into another prime (100106109823) 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, 50053054961 + 50053054962.

It is an arithmetic number, because the mean of its divisors is an integer number (50053054962).

Almost surely, 2^100106109923 is an apocalyptic number.

100106109923 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106109923 is an equidigital number, since it uses as much as digits as its factorization.

100106109923 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 100106109923 in words is "one hundred billion, one hundred six million, one hundred nine thousand, nine hundred twenty-three".