100105409 has 2 divisors, whose sum is σ = 100105410. Its totient is φ = 100105408.

The previous prime is 100105399. The next prime is 100105429. The reversal of 100105409 is 904501001.

It is an a-pointer prime, because the next prime (100105429) can be obtained adding 100105409 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56175025 + 43930384 = 7495^2 + 6628^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105409 - 2²⁰ = 99056833 is a prime.

It is a super-2 number, since 2×100105409² = 20042185822114562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100105429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052704 + 50052705.

It is an arithmetic number, because the mean of its divisors is an integer number (50052705).

Almost surely, 2^100105409 is an apocalyptic number.

It is an amenable number.

100105409 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105409 is an equidigital number, since it uses as much as digits as its factorization.

100105409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 100105409 is about 10005.2690618494. The cubic root of 100105409 is about 464.3219145040.

The spelling of 100105409 in words is "one hundred million, one hundred five thousand, four hundred nine".