100004337 has 12 divisors (see below), whose sum is σ = 144717300. Its totient is φ = 66546528.

The previous prime is 100004327. The next prime is 100004347. The reversal of 100004337 is 733400001.

It is an interprime number because it is at equal distance from previous prime (100004327) and next prime (100004347).

It can be written as a sum of positive squares in 2 ways, for example, as 9678321 + 90326016 = 3111^2 + 9504^2 .

It is not a de Polignac number, because 100004337 - 2¹⁰ = 100003313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100004327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4962 + ... + 14987.

It is an arithmetic number, because the mean of its divisors is an integer number (12059775).

Almost surely, 2^100004337 is an apocalyptic number.

It is an amenable number.

100004337 is a deficient number, since it is larger than the sum of its proper divisors (44712963).

100004337 is a wasteful number, since it uses less digits than its factorization.

100004337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20512 (or 20509 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 100004337 is about 10000.2168476489. The cubic root of 100004337 is about 464.1655934545.

Adding to 100004337 its reverse (733400001), we get a palindrome (833404338).

The spelling of 100004337 in words is "one hundred million, four thousand, three hundred thirty-seven".