105566505101 has 2 divisors, whose sum is σ = 105566505102. Its totient is φ = 105566505100.

The previous prime is 105566505073. The next prime is 105566505139. The reversal of 105566505101 is 101505665501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100806885001 + 4759620100 = 317501^2 + 68990^2 .

It is a cyclic number.

It is not a de Polignac number, because 105566505101 - 2¹⁰ = 105566504077 is a prime.

It is a super-2 number, since 2×105566505101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105566505601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52783252550 + 52783252551.

It is an arithmetic number, because the mean of its divisors is an integer number (52783252551).

Almost surely, 2^105566505101 is an apocalyptic number.

It is an amenable number.

105566505101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105566505101 is an equidigital number, since it uses as much as digits as its factorization.

105566505101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 105566505101 in words is "one hundred five billion, five hundred sixty-six million, five hundred five thousand, one hundred one".