10010 has 32 divisors (see below), whose sum is σ = 24192. Its totient is φ = 2880.

The previous prime is 10009. The next prime is 10037. The reversal of 10010 is 1001.

Adding to 10010 its reverse (1001), we get a palindrome (11011).

Subtracting from 10010 its reverse (1001), we obtain a palindrome (9009).

10010 = 25^{2} + 26^{2} + ... + 35^{2}.

10010 is nontrivially palindromic in base 8.

10010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10010 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a sliding number, since 10010 = 10 + 10000 and 1/10 + 1/10000 = 0.10010.

It is a Harshad number since it is a multiple of its sum of digits (2).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 764 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

2^{10010} is an apocalyptic number.

10010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010 is an abundant number, since it is smaller than the sum of its proper divisors (14182).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096).

10010 is a wasteful number, since it uses less digits than its factorization.

10010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38.

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 10010 is about 100.0499875062. The cubic root of 10010 is about 21.5515259568.

The spelling of 10010 in words is "ten thousand, ten", and thus it is an iban number.

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010

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