10505606101 has 2 divisors, whose sum is σ = 10505606102. Its totient is φ = 10505606100.

The previous prime is 10505606087. The next prime is 10505606117. The reversal of 10505606101 is 10160650501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8675991025 + 1829615076 = 93145^2 + 42774^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505606101 - 2⁹ = 10505605589 is a prime.

It is a super-2 number, since 2×10505606101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10505601101) 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, 5252803050 + 5252803051.

It is an arithmetic number, because the mean of its divisors is an integer number (5252803051).

Almost surely, 2^10505606101 is an apocalyptic number.

It is an amenable number.

10505606101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505606101 is an equidigital number, since it uses as much as digits as its factorization.

10505606101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 10505606101 in words is "ten billion, five hundred five million, six hundred six thousand, one hundred one".