105000100561 has 4 divisors (see below), whose sum is σ = 105001010532. Its totient is φ = 104999190592.

The previous prime is 105000100559. The next prime is 105000100591. The reversal of 105000100561 is 165001000501.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 165001000501 = 1279 ⋅129007819.

It can be written as a sum of positive squares in 2 ways, for example, as 96258785536 + 8741315025 = 310256^2 + 93495^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000100561 - 2¹ = 105000100559 is a prime.

It is a super-2 number, since 2×105000100561² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105000100531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251596 + ... + 522781.

It is an arithmetic number, because the mean of its divisors is an integer number (26250252633).

Almost surely, 2^105000100561 is an apocalyptic number.

It is an amenable number.

105000100561 is a deficient number, since it is larger than the sum of its proper divisors (909971).

105000100561 is an equidigital number, since it uses as much as digits as its factorization.

105000100561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909970.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 105000100561 in words is "one hundred five billion, one hundred thousand, five hundred sixty-one".