107848813184221 has 2 divisors, whose sum is σ = 107848813184222. Its totient is φ = 107848813184220.

The previous prime is 107848813184129. The next prime is 107848813184251. The reversal of 107848813184221 is 122481318848701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81490087078596 + 26358726105625 = 9027186^2 + 5134075^2 .

It is a cyclic number.

It is not a de Polignac number, because 107848813184221 - 2²⁷ = 107848678966493 is a prime.

It is a super-4 number, since 4×107848813184221⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107848813184251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53924406592110 + 53924406592111.

It is an arithmetic number, because the mean of its divisors is an integer number (53924406592111).

Almost surely, 2^{107848813184221} is an apocalyptic number.

It is an amenable number.

107848813184221 is a deficient number, since it is larger than the sum of its proper divisors (1).

107848813184221 is an equidigital number, since it uses as much as digits as its factorization.

107848813184221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5505024, while the sum is 58.

The spelling of 107848813184221 in words is "one hundred seven trillion, eight hundred forty-eight billion, eight hundred thirteen million, one hundred eighty-four thousand, two hundred twenty-one".