110505106001 has 12 divisors (see below), whose sum is σ = 117659013612. Its totient is φ = 103764492288.

The previous prime is 110505105983. The next prime is 110505106003. The reversal of 110505106001 is 100601505011.

It can be written as a sum of positive squares in 6 ways, for example, as 414529600 + 110090576401 = 20360^2 + 331799^2 .

It is not a de Polignac number, because 110505106001 - 2¹⁸ = 110504843857 is a prime.

It is a super-2 number, since 2×110505106001² (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 (110505106003) 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 11 ways as a sum of consecutive naturals, for example, 316400 + ... + 566673.

It is an arithmetic number, because the mean of its divisors is an integer number (9804917801).

Almost surely, 2^110505106001 is an apocalyptic number.

It is an amenable number.

110505106001 is a deficient number, since it is larger than the sum of its proper divisors (7153907611).

110505106001 is an equidigital number, since it uses as much as digits as its factorization.

110505106001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883540 (or 883523 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 110505106001 in words is "one hundred ten billion, five hundred five million, one hundred six thousand, one".