10200641 has 16 divisors (see below), whose sum is σ = 11622528. Its totient is φ = 8870400.

The previous prime is 10200637. The next prime is 10200679. The reversal of 10200641 is 14600201.

It is not a de Polignac number, because 10200641 - 2² = 10200637 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28721 + ... + 29073.

It is an arithmetic number, because the mean of its divisors is an integer number (726408).

Almost surely, 2^10200641 is an apocalyptic number.

10200641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200641 is a deficient number, since it is larger than the sum of its proper divisors (1421887).

10200641 is a wasteful number, since it uses less digits than its factorization.

10200641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10200641 is about 3193.8442354003. The cubic root of 10200641 is about 216.8748313663.

Adding to 10200641 its reverse (14600201), we get a palindrome (24800842).

The spelling of 10200641 in words is "ten million, two hundred thousand, six hundred forty-one".