10041600 has 108 divisors (see below), whose sum is σ = 33202736. Its totient is φ = 2672640.

The previous prime is 10041599. The next prime is 10041617. The reversal of 10041600 is 614001.

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

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, 18939 + ... + 19461.

Almost surely, 2^10041600 is an apocalyptic number.

10041600 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 10041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601368).

10041600 is an abundant number, since it is smaller than the sum of its proper divisors (23161136).

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

10041600 is an equidigital number, since it uses as much as digits as its factorization.

10041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 533 counting only the distinct ones).

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

The square root of 10041600 is about 3168.8483712541. The cubic root of 10041600 is about 215.7418039707.

Adding to 10041600 its reverse (614001), we get a palindrome (10655601).

The spelling of 10041600 in words is "ten million, forty-one thousand, six hundred".