10132400 has 60 divisors (see below), whose sum is σ = 24747672. Its totient is φ = 3985920.

The previous prime is 10132399. The next prime is 10132403. The reversal of 10132400 is 423101.

It is a happy number.

10132400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10132403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29027 + ... + 29373.

Almost surely, 2^10132400 is an apocalyptic number.

10132400 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 10132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12373836).

10132400 is an abundant number, since it is smaller than the sum of its proper divisors (14615272).

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

10132400 is a wasteful number, since it uses less digits than its factorization.

10132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 427 counting only the distinct ones).

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

The square root of 10132400 is about 3183.1431007732. The cubic root of 10132400 is about 216.3901271401.

Adding to 10132400 its reverse (423101), we get a palindrome (10555501).

The spelling of 10132400 in words is "ten million, one hundred thirty-two thousand, four hundred".