100105500097819 has 2 divisors, whose sum is σ = 100105500097820. Its totient is φ = 100105500097818.

The previous prime is 100105500097751. The next prime is 100105500097877. The reversal of 100105500097819 is 918790005501001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100105500097819 - 2²³ = 100105491709211 is a prime.

It is a super-2 number, since 2×100105500097819² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100105510097819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052750048909 + 50052750048910.

It is an arithmetic number, because the mean of its divisors is an integer number (50052750048910).

Almost surely, 2^{100105500097819} is an apocalyptic number.

100105500097819 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105500097819 is an equidigital number, since it uses as much as digits as its factorization.

100105500097819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 46.

The spelling of 100105500097819 in words is "one hundred trillion, one hundred five billion, five hundred million, ninety-seven thousand, eight hundred nineteen".