105605610101 has 2 divisors, whose sum is σ = 105605610102. Its totient is φ = 105605610100.

The previous prime is 105605610083. The next prime is 105605610107. The reversal of 105605610101 is 101016506501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105436584100 + 169026001 = 324710^2 + 13001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105605610101 is a prime.

It is a super-3 number, since 3×105605610101³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105605610107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52802805050 + 52802805051.

It is an arithmetic number, because the mean of its divisors is an integer number (52802805051).

Almost surely, 2^105605610101 is an apocalyptic number.

It is an amenable number.

105605610101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105605610101 is an equidigital number, since it uses as much as digits as its factorization.

105605610101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 105605610101 in words is "one hundred five billion, six hundred five million, six hundred ten thousand, one hundred one".