10605100203871 has 2 divisors, whose sum is σ = 10605100203872. Its totient is φ = 10605100203870.

The previous prime is 10605100203851. The next prime is 10605100203881. The reversal of 10605100203871 is 17830200150601.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10605100203871 - 2⁷ = 10605100203743 is a prime.

It is a super-2 number, since 2×10605100203871² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10605100203851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302550101935 + 5302550101936.

It is an arithmetic number, because the mean of its divisors is an integer number (5302550101936).

Almost surely, 2^{10605100203871} is an apocalyptic number.

10605100203871 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605100203871 is an equidigital number, since it uses as much as digits as its factorization.

10605100203871 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 10605100203871 in words is "ten trillion, six hundred five billion, one hundred million, two hundred three thousand, eight hundred seventy-one".