10202820 has 24 divisors (see below), whose sum is σ = 28568064. Its totient is φ = 2720736.

The previous prime is 10202783. The next prime is 10202831. The reversal of 10202820 is 2820201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202820.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84964 + ... + 85083.

It is an arithmetic number, because the mean of its divisors is an integer number (1190336).

Almost surely, 2^10202820 is an apocalyptic number.

10202820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202820 is an abundant number, since it is smaller than the sum of its proper divisors (18365244).

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

10202820 is a wasteful number, since it uses less digits than its factorization.

10202820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170059 (or 170057 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10202820 is about 3194.1853421491. The cubic root of 10202820 is about 216.8902727689.

The spelling of 10202820 in words is "ten million, two hundred two thousand, eight hundred twenty".