105101010061 has 4 divisors (see below), whose sum is σ = 105131628412. Its totient is φ = 105070391712.

The previous prime is 105101010023. The next prime is 105101010083. The reversal of 105101010061 is 160010101501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 160010101501 = 89 ⋅1797866309.

It can be written as a sum of positive squares in 2 ways, for example, as 30691536100 + 74409473961 = 175190^2 + 272781^2 .

It is a cyclic number.

It is not a de Polignac number, because 105101010061 - 2¹⁹ = 105100485773 is a prime.

It is a super-2 number, since 2×105101010061² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101010361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15304026 + ... + 15310891.

It is an arithmetic number, because the mean of its divisors is an integer number (26282907103).

Almost surely, 2^105101010061 is an apocalyptic number.

It is an amenable number.

105101010061 is a deficient number, since it is larger than the sum of its proper divisors (30618351).

105101010061 is an equidigital number, since it uses as much as digits as its factorization.

105101010061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30618350.

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

Adding to 105101010061 its reverse (160010101501), we get a palindrome (265111111562).

The spelling of 105101010061 in words is "one hundred five billion, one hundred one million, ten thousand, sixty-one".