10205420 has 12 divisors (see below), whose sum is σ = 21431424. Its totient is φ = 4082160.

The previous prime is 10205411. The next prime is 10205441. The reversal of 10205420 is 2450201.

It is a junction number, because it is equal to n+sod(n) for n = 10205395 and 10205404.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255116 + ... + 255155.

It is an arithmetic number, because the mean of its divisors is an integer number (1785952).

Almost surely, 2^10205420 is an apocalyptic number.

10205420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205420 is an abundant number, since it is smaller than the sum of its proper divisors (11226004).

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

10205420 is a wasteful number, since it uses less digits than its factorization.

10205420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510280 (or 510278 counting only the distinct ones).

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

The square root of 10205420 is about 3194.5923057567. The cubic root of 10205420 is about 216.9086946958.

Adding to 10205420 its reverse (2450201), we get a palindrome (12655621).

The spelling of 10205420 in words is "ten million, two hundred five thousand, four hundred twenty".