100105100560089 has 12 divisors (see below), whose sum is σ = 144596541302356. Its totient is φ = 66736602196992.

The previous prime is 100105100560079. The next prime is 100105100560109. The reversal of 100105100560089 is 980065001501001.

100105100560089 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 5 + 10 + 0 + 560 + 0 + 89 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3856050924489 + 96249049635600 = 1963683^2 + 9810660^2 .

It is not a de Polignac number, because 100105100560089 - 2¹⁷ = 100105100429017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100105100560079) 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, 6021112 + ... + 15377385.

Almost surely, 2^{100105100560089} is an apocalyptic number.

It is an amenable number.

100105100560089 is a deficient number, since it is larger than the sum of its proper divisors (44491440742267).

100105100560089 is a wasteful number, since it uses less digits than its factorization.

100105100560089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21918296 (or 21918293 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 100105100560089 in words is "one hundred trillion, one hundred five billion, one hundred million, five hundred sixty thousand, eighty-nine".