105661065051 has 24 divisors (see below), whose sum is σ = 152826439584. Its totient is φ = 70346223360.

The previous prime is 105661065047. The next prime is 105661065077. The reversal of 105661065051 is 150560166501.

It is not a de Polignac number, because 105661065051 - 2² = 105661065047 is a prime.

It is a super-2 number, since 2×105661065051² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105661064997 and 105661065015.

It is not an unprimeable number, because it can be changed into a prime (105661065001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38973586 + ... + 38976296.

It is an arithmetic number, because the mean of its divisors is an integer number (6367768316).

Almost surely, 2^105661065051 is an apocalyptic number.

105661065051 is a deficient number, since it is larger than the sum of its proper divisors (47165374533).

105661065051 is a wasteful number, since it uses less digits than its factorization.

105661065051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105661065051 in words is "one hundred five billion, six hundred sixty-one million, sixty-five thousand, fifty-one".