100011841 has 2 divisors, whose sum is σ = 100011842. Its totient is φ = 100011840.

The previous prime is 100011829. The next prime is 100011853. The reversal of 100011841 is 148110001.

It is a balanced prime because it is at equal distance from previous prime (100011829) and next prime (100011853).

It can be written as a sum of positive squares in only one way, i.e., 97219600 + 2792241 = 9860^2 + 1671^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011841 - 2⁷ = 100011713 is a prime.

It is a super-3 number, since 3×100011841³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100011811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005920 + 50005921.

It is an arithmetic number, because the mean of its divisors is an integer number (50005921).

Almost surely, 2^100011841 is an apocalyptic number.

It is an amenable number.

100011841 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011841 is an equidigital number, since it uses as much as digits as its factorization.

100011841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 100011841 is about 10000.5920324749. The cubic root of 100011841 is about 464.1772029893.

Adding to 100011841 its reverse (148110001), we get a palindrome (248121842).

The spelling of 100011841 in words is "one hundred million, eleven thousand, eight hundred forty-one".