105100109 has 2 divisors, whose sum is σ = 105100110. Its totient is φ = 105100108.

The previous prime is 105100049. The next prime is 105100117. The reversal of 105100109 is 901001501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103938025 + 1162084 = 10195^2 + 1078^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105100109 is a prime.

It is a super-2 number, since 2×105100109² = 22092065823623762, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105100129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550054 + 52550055.

It is an arithmetic number, because the mean of its divisors is an integer number (52550055).

Almost surely, 2^105100109 is an apocalyptic number.

It is an amenable number.

105100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

105100109 is an equidigital number, since it uses as much as digits as its factorization.

105100109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 17.

The square root of 105100109 is about 10251.8344212146. The cubic root of 105100109 is about 471.9192817178.

The spelling of 105100109 in words is "one hundred five million, one hundred thousand, one hundred nine".