10140400 has 60 divisors (see below), whose sum is σ = 24701544. Its totient is φ = 4000000.

The previous prime is 10140397. The next prime is 10140419. The reversal of 10140400 is 404101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40275 + ... + 40525.

Almost surely, 2^10140400 is an apocalyptic number.

10140400 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 10140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12350772).

10140400 is an abundant number, since it is smaller than the sum of its proper divisors (14561144).

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

10140400 is a wasteful number, since it uses less digits than its factorization.

10140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10140400 is about 3184.3994724280. The cubic root of 10140400 is about 216.4470621742.

Adding to 10140400 its reverse (404101), we get a palindrome (10544501).

It can be divided in two parts, 101 and 40400, that multiplied together give a square (4080400 = 2020²).

The spelling of 10140400 in words is "ten million, one hundred forty thousand, four hundred".