1006010561105 has 16 divisors (see below), whose sum is σ = 1329998488128. Its totient is φ = 724400040000.

The previous prime is 1006010561047. The next prime is 1006010561107. The reversal of 1006010561105 is 5011650106001.

It is not a de Polignac number, because 1006010561105 - 2³⁴ = 988830691921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006010561107) 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, 90544451 + ... + 90555560.

It is an arithmetic number, because the mean of its divisors is an integer number (83124905508).

Almost surely, 2^{1006010561105} is an apocalyptic number.

It is an amenable number.

1006010561105 is a deficient number, since it is larger than the sum of its proper divisors (323987927023).

1006010561105 is a wasteful number, since it uses less digits than its factorization.

1006010561105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181100128.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 1006010561105 its reverse (5011650106001), we get a palindrome (6017660667106).

The spelling of 1006010561105 in words is "one trillion, six billion, ten million, five hundred sixty-one thousand, one hundred five".