10131400 has 48 divisors (see below), whose sum is σ = 23770800. Its totient is φ = 4015680.

The previous prime is 10131361. The next prime is 10131403. The reversal of 10131400 is 413101.

It is a happy number.

10131400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10131403) 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, 35659 + ... + 35941.

It is an arithmetic number, because the mean of its divisors is an integer number (495225).

Almost surely, 2^10131400 is an apocalyptic number.

10131400 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 10131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11885400).

10131400 is an abundant number, since it is smaller than the sum of its proper divisors (13639400).

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

10131400 is a wasteful number, since it uses less digits than its factorization.

10131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10131400 is about 3182.9860194478. The cubic root of 10131400 is about 216.3830081540.

Adding to 10131400 its reverse (413101), we get a palindrome (10544501).

The spelling of 10131400 in words is "ten million, one hundred thirty-one thousand, four hundred".