105100001061 has 16 divisors (see below), whose sum is σ = 153756394560. Its totient is φ = 63328776320.

The previous prime is 105100001033. The next prime is 105100001077. The reversal of 105100001061 is 160100001501.

It is a cyclic number.

It is not a de Polignac number, because 105100001061 - 2⁶ = 105100000997 is a prime.

It is a super-2 number, since 2×105100001061² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105100001061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100001081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9199056 + ... + 9210473.

It is an arithmetic number, because the mean of its divisors is an integer number (9609774660).

Almost surely, 2^105100001061 is an apocalyptic number.

105100001061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105100001061 is a deficient number, since it is larger than the sum of its proper divisors (48656393499).

105100001061 is a wasteful number, since it uses less digits than its factorization.

105100001061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18409716.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 105100001061 its reverse (160100001501), we get a palindrome (265200002562).

The spelling of 105100001061 in words is "one hundred five billion, one hundred million, one thousand, sixty-one".