100105110110061 has 16 divisors (see below), whose sum is σ = 169490133520000. Its totient is φ = 57202920062784.

The previous prime is 100105110110053. The next prime is 100105110110077. The reversal of 100105110110061 is 160011011501001.

It is a happy number.

It is not a de Polignac number, because 100105110110061 - 2³ = 100105110110053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105110110011) 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, 264828333436 + ... + 264828333813.

It is an arithmetic number, because the mean of its divisors is an integer number (10593133345000).

Almost surely, 2^{100105110110061} is an apocalyptic number.

It is an amenable number.

100105110110061 is a deficient number, since it is larger than the sum of its proper divisors (69385023409939).

100105110110061 is an equidigital number, since it uses as much as digits as its factorization.

100105110110061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529656667265 (or 529656667259 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 100105110110061 its reverse (160011011501001), we get a palindrome (260116121611062).

The spelling of 100105110110061 in words is "one hundred trillion, one hundred five billion, one hundred ten million, one hundred ten thousand, sixty-one".