100105061050193 has 2 divisors, whose sum is σ = 100105061050194. Its totient is φ = 100105061050192.

The previous prime is 100105061050171. The next prime is 100105061050277. The reversal of 100105061050193 is 391050160501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92828754413824 + 7276306636369 = 9634768^2 + 2697463^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100105061050193 is a prime.

It is not a weakly prime, because it can be changed into another prime (100105061050153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052530525096 + 50052530525097.

It is an arithmetic number, because the mean of its divisors is an integer number (50052530525097).

Almost surely, 2^{100105061050193} is an apocalyptic number.

It is an amenable number.

100105061050193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105061050193 is an equidigital number, since it uses as much as digits as its factorization.

100105061050193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 32.

The spelling of 100105061050193 in words is "one hundred trillion, one hundred five billion, sixty-one million, fifty thousand, one hundred ninety-three".