10324400 has 60 divisors (see below), whose sum is σ = 25324272. Its totient is φ = 4043520.

The previous prime is 10324399. The next prime is 10324409. The reversal of 10324400 is 442301.

It is not an unprimeable number, because it can be changed into a prime (10324409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20957 + ... + 21443.

Almost surely, 2^10324400 is an apocalyptic number.

10324400 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 10324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12662136).

10324400 is an abundant number, since it is smaller than the sum of its proper divisors (14999872).

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

10324400 is a wasteful number, since it uses less digits than its factorization.

10324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10324400 is about 3213.1604379489. The cubic root of 10324400 is about 217.7483840502.

Adding to 10324400 its reverse (442301), we get a palindrome (10766701).

The spelling of 10324400 in words is "ten million, three hundred twenty-four thousand, four hundred".