10025400 has 288 divisors, whose sum is σ = 40711680. Its totient is φ = 2016000.

The previous prime is 10025383. The next prime is 10025419. The reversal of 10025400 is 452001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 71 ways as a sum of consecutive naturals, for example, 323385 + ... + 323415.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 2^10025400 is an apocalyptic number.

10025400 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 10025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

10025400 is an abundant number, since it is smaller than the sum of its proper divisors (30686280).

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

10025400 is a wasteful number, since it uses less digits than its factorization.

10025400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10025400 is about 3166.2912058116. The cubic root of 10025400 is about 215.6257235851.

Adding to 10025400 its reverse (452001), we get a palindrome (10477401).

The spelling of 10025400 in words is "ten million, twenty-five thousand, four hundred".