10200825 has 18 divisors (see below), whose sum is σ = 18271214. Its totient is φ = 5440320.

The previous prime is 10200823. The next prime is 10200851. The reversal of 10200825 is 52800201.

It can be written as a sum of positive squares in 3 ways, for example, as 1218816 + 8982009 = 1104^2 + 2997^2 .

It is not a de Polignac number, because 10200825 - 2¹ = 10200823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10200798 and 10200807.

It is not an unprimeable number, because it can be changed into a prime (10200821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22444 + ... + 22893.

Almost surely, 2^10200825 is an apocalyptic number.

10200825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10200825 is a deficient number, since it is larger than the sum of its proper divisors (8070389).

10200825 is a wasteful number, since it uses less digits than its factorization.

10200825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45353 (or 45345 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10200825 is about 3193.8730406827. The cubic root of 10200825 is about 216.8761353605.

It can be divided in two parts, 10200 and 825, that added together give a square (11025 = 105²).

The spelling of 10200825 in words is "ten million, two hundred thousand, eight hundred twenty-five".