10105050105061 has 16 divisors (see below), whose sum is σ = 10496589638400. Its totient is φ = 9721797104448.

The previous prime is 10105050104953. The next prime is 10105050105089. The reversal of 10105050105061 is 16050105050101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10105050105061 is a prime.

It is a super-2 number, since 2×10105050105061² (a number of 27 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 (10105050105361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2828541 + ... + 5311378.

It is an arithmetic number, because the mean of its divisors is an integer number (656036852400).

Almost surely, 2^{10105050105061} is an apocalyptic number.

It is an amenable number.

10105050105061 is a deficient number, since it is larger than the sum of its proper divisors (391539533339).

10105050105061 is an equidigital number, since it uses as much as digits as its factorization.

10105050105061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140428.

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 10105050105061 its reverse (16050105050101), we get a palindrome (26155155155162).

The spelling of 10105050105061 in words is "ten trillion, one hundred five billion, fifty million, one hundred five thousand, sixty-one".