105110500561001 has 8 divisors (see below), whose sum is σ = 115331695826760. Its totient is φ = 95194415601792.

The previous prime is 105110500560997. The next prime is 105110500561049. The reversal of 105110500561001 is 100165005011501.

It can be written as a sum of positive squares in 4 ways, for example, as 4619920360000 + 100490580201001 = 2149400^2 + 10024499^2 .

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

It is not a de Polignac number, because 105110500561001 - 2² = 105110500560997 is a prime.

It is a super-2 number, since 2×105110500561001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105110500561061) 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, 76277575916 + ... + 76277577293.

It is an arithmetic number, because the mean of its divisors is an integer number (14416461978345).

Almost surely, 2^{105110500561001} is an apocalyptic number.

It is an amenable number.

105110500561001 is a deficient number, since it is larger than the sum of its proper divisors (10221195265759).

105110500561001 is a wasteful number, since it uses less digits than its factorization.

105110500561001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152555153275.

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

Adding to 105110500561001 its reverse (100165005011501), we get a palindrome (205275505572502).

The spelling of 105110500561001 in words is "one hundred five trillion, one hundred ten billion, five hundred million, five hundred sixty-one thousand, one".