10004100 has 36 divisors (see below), whose sum is σ = 28946064. Its totient is φ = 2667680.

The previous prime is 10004063. The next prime is 10004119. The reversal of 10004100 is 140001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

10004100 is a modest number, since divided by 4100 gives 100 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16374 + ... + 16973.

Almost surely, 2^10004100 is an apocalyptic number.

10004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004100 is an abundant number, since it is smaller than the sum of its proper divisors (18941964).

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

10004100 is a wasteful number, since it uses less digits than its factorization.

10004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33364 (or 33357 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10004100 is about 3162.9258606550. The cubic root of 10004100 is about 215.4729089209.

Adding to 10004100 its reverse (140001), we get a palindrome (10144101).

The spelling of 10004100 in words is "ten million, four thousand, one hundred".