10200431 has 16 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 9166080.

The previous prime is 10200413. The next prime is 10200461. The reversal of 10200431 is 13400201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10200431 - 2¹⁰ = 10199407 is a prime.

It is a super-2 number, since 2×10200431² = 208097585171522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27161 + ... + 27533.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 2^10200431 is an apocalyptic number.

10200431 is a deficient number, since it is larger than the sum of its proper divisors (1109329).

10200431 is a wasteful number, since it uses less digits than its factorization.

10200431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10200431 is about 3193.8113594888. The cubic root of 10200431 is about 216.8733430929.

Adding to 10200431 its reverse (13400201), we get a palindrome (23600632).

The spelling of 10200431 in words is "ten million, two hundred thousand, four hundred thirty-one".