10054820 has 24 divisors (see below), whose sum is σ = 22357944. Its totient is φ = 3785216.

The previous prime is 10054817. The next prime is 10054829. The reversal of 10054820 is 2845001.

It can be written as a sum of positive squares in 4 ways, for example, as 678976 + 9375844 = 824^2 + 3062^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10054792 and 10054801.

It is not an unprimeable number, because it can be changed into a prime (10054829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14447 + ... + 15126.

It is an arithmetic number, because the mean of its divisors is an integer number (931581).

Almost surely, 2^10054820 is an apocalyptic number.

10054820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10054820 is an abundant number, since it is smaller than the sum of its proper divisors (12303124).

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

10054820 is a wasteful number, since it uses less digits than its factorization.

10054820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29599 (or 29597 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 10054820 is about 3170.9336164606. The cubic root of 10054820 is about 215.8364388211.

Adding to 10054820 its reverse (2845001), we get a palindrome (12899821).

The spelling of 10054820 in words is "ten million, fifty-four thousand, eight hundred twenty".