100041004 has 48 divisors (see below), whose sum is σ = 215147520. Its totient is φ = 39744000.

The previous prime is 100040989. The next prime is 100041031. The reversal of 100041004 is 400140001.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 23004 + ... + 27004.

It is an arithmetic number, because the mean of its divisors is an integer number (4482240).

Almost surely, 2^100041004 is an apocalyptic number.

100041004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100041004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107573760).

100041004 is an abundant number, since it is smaller than the sum of its proper divisors (115106516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100041004 is a wasteful number, since it uses less digits than its factorization.

100041004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100041004 is about 10002.0499898771. The cubic root of 100041004 is about 464.2223159283. Note that the first 3 decimals are identical.

Adding to 100041004 its reverse (400140001), we get a palindrome (500181005).

The spelling of 100041004 in words is "one hundred million, forty-one thousand, four".