105100100105561 has 12 divisors (see below), whose sum is σ = 120546000555456. Its totient is φ = 91391391393720.

The previous prime is 105100100105557. The next prime is 105100100105569. The reversal of 105100100105561 is 165501001001501.

It is not a de Polignac number, because 105100100105561 - 2² = 105100100105557 is a prime.

It is a super-2 number, since 2×105100100105561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105100100105561.

It is not an unprimeable number, because it can be changed into a prime (105100100105569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18882516101 + ... + 18882521666.

It is an arithmetic number, because the mean of its divisors is an integer number (10045500046288).

Almost surely, 2^{105100100105561} is an apocalyptic number.

105100100105561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105100100105561 is a deficient number, since it is larger than the sum of its proper divisors (15445900449895).

105100100105561 is a wasteful number, since it uses less digits than its factorization.

105100100105561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37765037812 (or 37765037801 counting only the distinct ones).

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

The spelling of 105100100105561 in words is "one hundred five trillion, one hundred billion, one hundred million, one hundred five thousand, five hundred sixty-one".