10000 has 25 divisors (see below), whose sum is σ = 24211. Its totient is φ = 4000.

The previous prime is 9973. The next prime is 10007. The reversal of 10000 is 1.

10000 = T_{99} + T_{100}.

It is a happy number.

The square root of 10000 is 100.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

10000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 784 + 9216 = 28^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (25).

It is a Harshad number since it is a multiple of its sum of digits (1).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 5 and base 10.

It is not an unprimeable number, because it can be changed into a prime (10007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 1998 + ... + 2002.

2^{10000} is an apocalyptic number.

10000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000 is the 100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000

10000 is an abundant number, since it is smaller than the sum of its proper divisors (14211).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000 is an frugal number, since it uses more digits than its factorization.

10000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 1.

The cubic root of 10000 is about 21.5443469003.

The spelling of 10000 in words is "ten thousand", and thus it is an iban number.

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