10206225 has 18 divisors (see below), whose sum is σ = 18280886. Its totient is φ = 5443200.

The previous prime is 10206199. The next prime is 10206257. The reversal of 10206225 is 52260201.

10206225 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 10093329 = 336^2 + 3177^2 .

It is not a de Polignac number, because 10206225 - 2¹⁰ = 10205201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10206198 and 10206207.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22456 + ... + 22905.

Almost surely, 2^10206225 is an apocalyptic number.

10206225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10206225 is a deficient number, since it is larger than the sum of its proper divisors (8074661).

10206225 is a wasteful number, since it uses less digits than its factorization.

10206225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45377 (or 45369 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10206225 is about 3194.7182974403. The cubic root of 10206225 is about 216.9143977735.

Adding to 10206225 its reverse (52260201), we get a palindrome (62466426).

The spelling of 10206225 in words is "ten million, two hundred six thousand, two hundred twenty-five".