105001110061 has 2 divisors, whose sum is σ = 105001110062. Its totient is φ = 105001110060.

The previous prime is 105001110041. The next prime is 105001110107. The reversal of 105001110061 is 160011100501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104995440900 + 5669161 = 324030^2 + 2381^2 .

It is a cyclic number.

It is not a de Polignac number, because 105001110061 - 2¹³ = 105001101869 is a prime.

It is a super-2 number, since 2×105001110061² (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 (105001110041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500555030 + 52500555031.

It is an arithmetic number, because the mean of its divisors is an integer number (52500555031).

Almost surely, 2^105001110061 is an apocalyptic number.

It is an amenable number.

105001110061 is a deficient number, since it is larger than the sum of its proper divisors (1).

105001110061 is an equidigital number, since it uses as much as digits as its factorization.

105001110061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 105001110061 its reverse (160011100501), we get a palindrome (265012210562).

The spelling of 105001110061 in words is "one hundred five billion, one million, one hundred ten thousand, sixty-one".