100004081 has 12 divisors (see below), whose sum is σ = 108851148. Its totient is φ = 91556352.

The previous prime is 100004059. The next prime is 100004089. The reversal of 100004081 is 180400001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33825856 + 66178225 = 5816^2 + 8135^2 .

It is not a de Polignac number, because 100004081 - 2⁶ = 100004017 is a prime.

It is a super-2 number, since 2×100004081² = 20001632433309122, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100004089) 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 in 11 ways as a sum of consecutive naturals, for example, 21125 + ... + 25421.

It is an arithmetic number, because the mean of its divisors is an integer number (9070929).

Almost surely, 2^100004081 is an apocalyptic number.

It is an amenable number.

100004081 is a deficient number, since it is larger than the sum of its proper divisors (8847067).

100004081 is an equidigital number, since it uses as much as digits as its factorization.

100004081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 100004081 is about 10000.2040479182. The cubic root of 100004081 is about 464.1651973834.

Adding to 100004081 its reverse (180400001), we get a palindrome (280404082).

The spelling of 100004081 in words is "one hundred million, four thousand, eighty-one".