10205620 has 24 divisors (see below), whose sum is σ = 21932064. Its totient is φ = 3986976.

The previous prime is 10205609. The next prime is 10205621. The reversal of 10205620 is 2650201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10205594 and 10205603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5074 + ... + 6793.

It is an arithmetic number, because the mean of its divisors is an integer number (913836).

Almost surely, 2^10205620 is an apocalyptic number.

10205620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205620 is an abundant number, since it is smaller than the sum of its proper divisors (11726444).

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

10205620 is a wasteful number, since it uses less digits than its factorization.

10205620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11919 (or 11917 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10205620 is about 3194.6236085023. The cubic root of 10205620 is about 216.9101116375.

Adding to 10205620 its reverse (2650201), we get a palindrome (12855821).

The spelling of 10205620 in words is "ten million, two hundred five thousand, six hundred twenty".