10205541 has 32 divisors (see below), whose sum is σ = 15897600. Its totient is φ = 6462720.

The previous prime is 10205513. The next prime is 10205543. The reversal of 10205541 is 14550201.

It is not a de Polignac number, because 10205541 - 2¹⁰ = 10204517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74425 + ... + 74561.

It is an arithmetic number, because the mean of its divisors is an integer number (496800).

Almost surely, 2^10205541 is an apocalyptic number.

It is an amenable number.

10205541 is a deficient number, since it is larger than the sum of its proper divisors (5692059).

10205541 is a wasteful number, since it uses less digits than its factorization.

10205541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

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

The square root of 10205541 is about 3194.6112439544. The cubic root of 10205541 is about 216.9095519478.

Adding to 10205541 its reverse (14550201), we get a palindrome (24755742).

It can be divided in two parts, 1020 and 5541, that added together give a 8-th power (6561 = 3⁸).

The spelling of 10205541 in words is "ten million, two hundred five thousand, five hundred forty-one".