105001110606061 has 2 divisors, whose sum is σ = 105001110606062. Its totient is φ = 105001110606060.

The previous prime is 105001110606053. The next prime is 105001110606101. The reversal of 105001110606061 is 160606011100501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67088385562500 + 37912725043561 = 8190750^2 + 6157331^2 .

It is an emirp because it is prime and its reverse (160606011100501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105001110606061 - 2³ = 105001110606053 is a prime.

It is a super-3 number, since 3×105001110606061³ (a number of 43 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 (105001110606461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500555303030 + 52500555303031.

It is an arithmetic number, because the mean of its divisors is an integer number (52500555303031).

Almost surely, 2^{105001110606061} is an apocalyptic number.

It is an amenable number.

105001110606061 is a deficient number, since it is larger than the sum of its proper divisors (1).

105001110606061 is an equidigital number, since it uses as much as digits as its factorization.

105001110606061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 28.

Adding to 105001110606061 its reverse (160606011100501), we get a palindrome (265607121706562).

The spelling of 105001110606061 in words is "one hundred five trillion, one billion, one hundred ten million, six hundred six thousand, sixty-one".