100106110052519 has 2 divisors, whose sum is σ = 100106110052520. Its totient is φ = 100106110052518.

The previous prime is 100106110052353. The next prime is 100106110052521. The reversal of 100106110052519 is 915250011601001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100106110052519 - 2⁴⁰ = 99006598424743 is a prime.

It is a super-2 number, since 2×100106110052519² (a number of 29 digits) contains 22 as substring.

Together with 100106110052521, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100106110052539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053055026259 + 50053055026260.

It is an arithmetic number, because the mean of its divisors is an integer number (50053055026260).

Almost surely, 2^{100106110052519} is an apocalyptic number.

100106110052519 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106110052519 is an equidigital number, since it uses as much as digits as its factorization.

100106110052519 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 32.

The spelling of 100106110052519 in words is "one hundred trillion, one hundred six billion, one hundred ten million, fifty-two thousand, five hundred nineteen".