10312400 has 120 divisors (see below), whose sum is σ = 29521920. Its totient is φ = 3386880.

The previous prime is 10312397. The next prime is 10312409. The reversal of 10312400 is 421301.

It is a happy number.

10312400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81137 + ... + 81263.

It is an arithmetic number, because the mean of its divisors is an integer number (246016).

Almost surely, 2^10312400 is an apocalyptic number.

10312400 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 10312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760960).

10312400 is an abundant number, since it is smaller than the sum of its proper divisors (19209520).

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

10312400 is a wasteful number, since it uses less digits than its factorization.

10312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

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

The square root of 10312400 is about 3211.2925746497. The cubic root of 10312400 is about 217.6639887144.

Adding to 10312400 its reverse (421301), we get a palindrome (10733701).

The spelling of 10312400 in words is "ten million, three hundred twelve thousand, four hundred".