10205415 has 48 divisors (see below), whose sum is σ = 19712160. Its totient is φ = 4842240.

The previous prime is 10205411. The next prime is 10205441. The reversal of 10205415 is 51450201.

It is not a de Polignac number, because 10205415 - 2² = 10205411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26041 + ... + 26429.

It is an arithmetic number, because the mean of its divisors is an integer number (410670).

Almost surely, 2^10205415 is an apocalyptic number.

10205415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10205415 is a deficient number, since it is larger than the sum of its proper divisors (9506745).

10205415 is a wasteful number, since it uses less digits than its factorization.

10205415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10205415 is about 3194.5915231841. The cubic root of 10205415 is about 216.9086592721.

Adding to 10205415 its reverse (51450201), we get a palindrome (61655616).

The spelling of 10205415 in words is "ten million, two hundred five thousand, four hundred fifteen".