100105498413359 has 2 divisors, whose sum is σ = 100105498413360. Its totient is φ = 100105498413358.

The previous prime is 100105498413331. The next prime is 100105498413377. The reversal of 100105498413359 is 953314894501001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100105498413359 - 2²⁰ = 100105497364783 is a prime.

It is a super-2 number, since 2×100105498413359² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100105498413359.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105498413329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052749206679 + 50052749206680.

It is an arithmetic number, because the mean of its divisors is an integer number (50052749206680).

Almost surely, 2^{100105498413359} is an apocalyptic number.

100105498413359 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105498413359 is an equidigital number, since it uses as much as digits as its factorization.

100105498413359 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2332800, while the sum is 53.

The spelling of 100105498413359 in words is "one hundred trillion, one hundred five billion, four hundred ninety-eight million, four hundred thirteen thousand, three hundred fifty-nine".