10200 has 48 divisors (see below), whose sum is σ = 33480. Its totient is φ = 2560.

The previous prime is 10193. The next prime is 10211. The reversal of 10200 is 201.

Adding to 10200 its reverse (201), we get a palindrome (10401).

Subtracting from 10200 its reverse (201), we obtain a palindrome (9999).

It can be divided in two parts, 10 and 200, that added together give a triangular number (210 = T_{20}).

10200 = 16^{2} + 17^{2} + ... + 32^{2}.

It is a Cunningham number, because it is equal to 101^{2}-1.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

10200 is an undulating number in base 13.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592 + ... + 608.

2^{10200} is an apocalyptic number.

10200 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 10200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740).

10200 is an abundant number, since it is smaller than the sum of its proper divisors (23280).

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

10200 is a wasteful number, since it uses less digits than its factorization.

10200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 10200 is about 100.9950493836. The cubic root of 10200 is about 21.6870288525.

The spelling of 10200 in words is "ten thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200

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