10054400 has 54 divisors (see below), whose sum is σ = 24902052. Its totient is φ = 4019200.

The previous prime is 10054399. The next prime is 10054423. The reversal of 10054400 is 445001.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5615 + ... + 7185.

Almost surely, 2^10054400 is an apocalyptic number.

10054400 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 10054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12451026).

10054400 is an abundant number, since it is smaller than the sum of its proper divisors (14847652).

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

10054400 is an equidigital number, since it uses as much as digits as its factorization.

10054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 10054400 is about 3170.8673892170. The cubic root of 10054400 is about 215.8334335438.

Adding to 10054400 its reverse (445001), we get a palindrome (10499401).

The spelling of 10054400 in words is "ten million, fifty-four thousand, four hundred".