10006400 has 96 divisors (see below), whose sum is σ = 25612200. Its totient is φ = 3860480.

The previous prime is 10006351. The next prime is 10006417. The reversal of 10006400 is 460001.

It is a congruent number.

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, 169571 + ... + 169629.

Almost surely, 2^10006400 is an apocalyptic number.

10006400 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 10006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806100).

10006400 is an abundant number, since it is smaller than the sum of its proper divisors (15605800).

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

10006400 is an equidigital number, since it uses as much as digits as its factorization.

10006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10006400 is about 3163.2894271628. The cubic root of 10006400 is about 215.4894204750.

Adding to 10006400 its reverse (460001), we get a palindrome (10466401).

The spelling of 10006400 in words is "ten million, six thousand, four hundred".