10104600 has 96 divisors (see below), whose sum is σ = 34194240. Its totient is φ = 2448000.

The previous prime is 10104581. The next prime is 10104617. The reversal of 10104600 is 640101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5835 + ... + 7365.

It is an arithmetic number, because the mean of its divisors is an integer number (356190).

Almost surely, 2^10104600 is an apocalyptic number.

10104600 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 10104600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17097120).

10104600 is an abundant number, since it is smaller than the sum of its proper divisors (24089640).

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

10104600 is a wasteful number, since it uses less digits than its factorization.

10104600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10104600 is about 3178.7733483216. The cubic root of 10104600 is about 216.1920445670.

Adding to 10104600 its reverse (640101), we get a palindrome (10744701).

The spelling of 10104600 in words is "ten million, one hundred four thousand, six hundred".