100106661553 has 2 divisors, whose sum is σ = 100106661554. Its totient is φ = 100106661552.

The previous prime is 100106661547. The next prime is 100106661659. The reversal of 100106661553 is 355166601001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50614650529 + 49492011024 = 224977^2 + 222468^2 .

It is an emirp because it is prime and its reverse (355166601001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100106661553 is a prime.

It is not a weakly prime, because it can be changed into another prime (100106661353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053330776 + 50053330777.

It is an arithmetic number, because the mean of its divisors is an integer number (50053330777).

Almost surely, 2^100106661553 is an apocalyptic number.

It is an amenable number.

100106661553 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106661553 is an equidigital number, since it uses as much as digits as its factorization.

100106661553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 100106661553 in words is "one hundred billion, one hundred six million, six hundred sixty-one thousand, five hundred fifty-three".