10205020 has 24 divisors (see below), whose sum is σ = 24492384. Its totient is φ = 3498816.

The previous prime is 10205017. The next prime is 10205051. The reversal of 10205020 is 2050201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10204988 and 10205006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36307 + ... + 36586.

It is an arithmetic number, because the mean of its divisors is an integer number (1020516).

Almost surely, 2^10205020 is an apocalyptic number.

10205020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205020 is an abundant number, since it is smaller than the sum of its proper divisors (14287364).

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

10205020 is a wasteful number, since it uses less digits than its factorization.

10205020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72909 (or 72907 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10205020 is about 3194.5296993454. The cubic root of 10205020 is about 216.9058607569.

Adding to 10205020 its reverse (2050201), we get a palindrome (12255221).

The spelling of 10205020 in words is "ten million, two hundred five thousand, twenty".