100409161 has 2 divisors, whose sum is σ = 100409162. Its totient is φ = 100409160.

The previous prime is 100409159. The next prime is 100409213. The reversal of 100409161 is 161904001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100100025 + 309136 = 10005^2 + 556^2 .

It is a cyclic number.

It is not a de Polignac number, because 100409161 - 2¹ = 100409159 is a prime.

It is a super-2 number, since 2×100409161² = 20163999225447842, which contains 22 as substring.

Together with 100409159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100409261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50204580 + 50204581.

It is an arithmetic number, because the mean of its divisors is an integer number (50204581).

Almost surely, 2^100409161 is an apocalyptic number.

It is an amenable number.

100409161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100409161 is an equidigital number, since it uses as much as digits as its factorization.

100409161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 100409161 is about 10020.4371661121. The cubic root of 100409161 is about 464.7910742937.

The spelling of 100409161 in words is "one hundred million, four hundred nine thousand, one hundred sixty-one".