10700 has 18 divisors (see below), whose sum is σ = 23436. Its totient is φ = 4240.

The previous prime is 10691. The next prime is 10709. The reversal of 10700 is 701.

10700 = 33^{2} + 34^{2} + ... + 40^{2}.

10700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10691) and next prime (10709).

It is a super-2 number, since 2×10700^{2} = 228980000, which contains 22 as substring.

It is a plaindrome in base 16.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (10709) by changing a digit.

10700 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 47 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

2^{10700} is an apocalyptic number.

10700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718).

10700 is an abundant number, since it is smaller than the sum of its proper divisors (12736).

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

10700 is a wasteful number, since it uses less digits than its factorization.

10700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 8.

The square root of 10700 is about 103.4408043279. The cubic root of 10700 is about 22.0357545322.

Subtracting from 10700 its reverse (701), we obtain a palindrome (9999).

The spelling of 10700 in words is "ten thousand, seven hundred", and thus it is an iban number.

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