105661106051 has 8 divisors (see below), whose sum is σ = 106872098304. Its totient is φ = 104456036160.

The previous prime is 105661106029. The next prime is 105661106107. The reversal of 105661106051 is 150601166501.

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

It is a cyclic number.

It is not a de Polignac number, because 105661106051 - 2²² = 105656911747 is a prime.

It is a super-2 number, since 2×105661106051² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105661105999 and 105661106017.

It is not an unprimeable number, because it can be changed into a prime (105661106021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1444700 + ... + 1516073.

It is an arithmetic number, because the mean of its divisors is an integer number (13359012288).

Almost surely, 2^105661106051 is an apocalyptic number.

105661106051 is a deficient number, since it is larger than the sum of its proper divisors (1210992253).

105661106051 is a wasteful number, since it uses less digits than its factorization.

105661106051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961181.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 105661106051 in words is "one hundred five billion, six hundred sixty-one million, one hundred six thousand, fifty-one".