10051 has 6 divisors (see below), whose sum is σ = 11060. Its totient is φ = 9108.

The previous prime is 10039. The next prime is 10061. The reversal of 10051 is 15001.

10051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10051 - 2⁷ = 9923 is a prime.

It is a Duffinian number.

10051 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (10061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 426 + ... + 448.

2¹⁰⁰⁵¹ is an apocalyptic number.

10051 is a deficient number, since it is larger than the sum of its proper divisors (1009).

10051 is an equidigital number, since it uses as much as digits as its factorization.

10051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 10051 is about 100.2546757014. The cubic root of 10051 is about 21.5809102027.

Adding to 10051 its reverse (15001), we get a palindrome (25052).

Subtracting 10051 from its reverse (15001), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 100 and 51, that added together give a palindrome (151).

The spelling of 10051 in words is "ten thousand, fifty-one".