10005420 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2640576.

The previous prime is 10005389. The next prime is 10005421. The reversal of 10005420 is 2450001.

10005420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

10005420 is a modest number, since divided by 5420 gives 100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10005396 and 10005405.

It is not an unprimeable number, because it can be changed into a prime (10005421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5371 + ... + 6989.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^10005420 is an apocalyptic number.

10005420 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 10005420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

10005420 is an abundant number, since it is smaller than the sum of its proper divisors (18299220).

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

10005420 is a wasteful number, since it uses less digits than its factorization.

10005420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1732 counting only the distinct ones).

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

The square root of 10005420 is about 3163.1345213253. The cubic root of 10005420 is about 215.4823854265.

Adding to 10005420 its reverse (2450001), we get a palindrome (12455421).

The spelling of 10005420 in words is "ten million, five thousand, four hundred twenty".