10204100 has 36 divisors (see below), whose sum is σ = 22488144. Its totient is φ = 4018080.

The previous prime is 10204099. The next prime is 10204133. The reversal of 10204100 is 140201.

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 11 ways as a sum of consecutive naturals, for example, 5939 + ... + 7461.

Almost surely, 2^10204100 is an apocalyptic number.

10204100 is a gapful number since it is divisible by the number (10) 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 10204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11244072).

10204100 is an abundant number, since it is smaller than the sum of its proper divisors (12284044).

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

10204100 is a wasteful number, since it uses less digits than its factorization.

10204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10204100 is about 3194.3856999429. The cubic root of 10204100 is about 216.8993424163.

Adding to 10204100 its reverse (140201), we get a palindrome (10344301).

The spelling of 10204100 in words is "ten million, two hundred four thousand, one hundred".