100414081 has 2 divisors, whose sum is σ = 100414082. Its totient is φ = 100414080.

The previous prime is 100414079. The next prime is 100414103. The reversal of 100414081 is 180414001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96353856 + 4060225 = 9816^2 + 2015^2 .

It is a cyclic number.

It is not a de Polignac number, because 100414081 - 2¹ = 100414079 is a prime.

It is a super-2 number, since 2×100414081² = 20165975326149122, which contains 22 as substring.

Together with 100414079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100414381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50207040 + 50207041.

It is an arithmetic number, because the mean of its divisors is an integer number (50207041).

Almost surely, 2^100414081 is an apocalyptic number.

It is an amenable number.

100414081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100414081 is an equidigital number, since it uses as much as digits as its factorization.

100414081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 100414081 is about 10020.6826613759. The cubic root of 100414081 is about 464.7986656818.

Adding to 100414081 its reverse (180414001), we get a palindrome (280828082).

The spelling of 100414081 in words is "one hundred million, four hundred fourteen thousand, eighty-one".