1105005610001 has 8 divisors (see below), whose sum is σ = 1117688786280. Its totient is φ = 1092393888768.

The previous prime is 1105005609991. The next prime is 1105005610021. The reversal of 1105005610001 is 1000165005011.

It can be written as a sum of positive squares in 4 ways, for example, as 606217960000 + 498787650001 = 778600^2 + 706249^2 .

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 1105005610001 - 2¹⁰ = 1105005608977 is a prime.

It is a super-2 number, since 2×1105005610001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1105005610021) 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, 17832656 + ... + 17894513.

It is an arithmetic number, because the mean of its divisors is an integer number (139711098285).

Almost surely, 2^{1105005610001} is an apocalyptic number.

It is an amenable number.

1105005610001 is a deficient number, since it is larger than the sum of its proper divisors (12683176279).

1105005610001 is a wasteful number, since it uses less digits than its factorization.

1105005610001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35727523.

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

The spelling of 1105005610001 in words is "one trillion, one hundred five billion, five million, six hundred ten thousand, one".