10054800 has 360 divisors, whose sum is σ = 43821600. Its totient is φ = 2177280.

The previous prime is 10054777. The next prime is 10054817. The reversal of 10054800 is 845001.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529191 + ... + 529209.

Almost surely, 2^10054800 is an apocalyptic number.

10054800 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 10054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21910800).

10054800 is an abundant number, since it is smaller than the sum of its proper divisors (33766800).

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

10054800 is a wasteful number, since it uses less digits than its factorization.

10054800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10054800 is about 3170.9304628137. The cubic root of 10054800 is about 215.8362957146.

Adding to 10054800 its reverse (845001), we get a palindrome (10899801).

The spelling of 10054800 in words is "ten million, fifty-four thousand, eight hundred".