105506100561 has 16 divisors (see below), whose sum is σ = 142398860544. Its totient is φ = 69479161104.

The previous prime is 105506100533. The next prime is 105506100563. The reversal of 105506100561 is 165001605501.

It is not a de Polignac number, because 105506100561 - 2¹³ = 105506092369 is a prime.

It is a super-3 number, since 3×105506100561³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105506100563) 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, 362215 + ... + 584988.

It is an arithmetic number, because the mean of its divisors is an integer number (8899928784).

Almost surely, 2^105506100561 is an apocalyptic number.

It is an amenable number.

105506100561 is a deficient number, since it is larger than the sum of its proper divisors (36892759983).

105506100561 is a wasteful number, since it uses less digits than its factorization.

105506100561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947660.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105506100561 in words is "one hundred five billion, five hundred six million, one hundred thousand, five hundred sixty-one".