2100105161 has 18 divisors (see below), whose sum is σ = 2685266010. Its totient is φ = 1636440960.

The previous prime is 2100105127. The next prime is 2100105167. The reversal of 2100105161 is 1615010012.

It can be written as a sum of positive squares in only one way, i.e., 1813141561 + 286963600 = 42581^2 + 16940^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2100105161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100105167) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 171176 + ... + 183033.

It is an arithmetic number, because the mean of its divisors is an integer number (149181445).

Almost surely, 2^2100105161 is an apocalyptic number.

It is an amenable number.

2100105161 is a deficient number, since it is larger than the sum of its proper divisors (585160849).

2100105161 is a wasteful number, since it uses less digits than its factorization.

2100105161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354245 (or 354227 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 2100105161 is about 45826.9043357720. The cubic root of 2100105161 is about 1280.6005403427.

Adding to 2100105161 its reverse (1615010012), we get a palindrome (3715115173).

The spelling of 2100105161 in words is "two billion, one hundred million, one hundred five thousand, one hundred sixty-one".