105105511061 has 8 divisors (see below), whose sum is σ = 105868284984. Its totient is φ = 104345053120.

The previous prime is 105105511051. The next prime is 105105511079. The reversal of 105105511061 is 160115501501.

It can be written as a sum of positive squares in 4 ways, for example, as 6566022961 + 98539488100 = 81031^2 + 313910^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105105511061 is a prime.

It is a super-2 number, since 2×105105511061² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105105511061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105511031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487850 + ... + 669483.

It is an arithmetic number, because the mean of its divisors is an integer number (13233535623).

Almost surely, 2^105105511061 is an apocalyptic number.

It is an amenable number.

105105511061 is a deficient number, since it is larger than the sum of its proper divisors (762773923).

105105511061 is a wasteful number, since it uses less digits than its factorization.

105105511061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157991.

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 105105511061 in words is "one hundred five billion, one hundred five million, five hundred eleven thousand, sixty-one".