10100 has 18 divisors (see below), whose sum is σ = 22134. Its totient is φ = 4000.
The previous prime is 10099. The next prime is 10103. The reversal of 10100 is 101.
Added to its reverse (101) it gives a square (10201 = 1012).
10100 = T15 + T16 + ... + T39.
It can be written as a sum of positive squares in 3 ways, for example, as 2704 + 7396 = 52^2 + 86^2 .
It is a sliding number, since 10100 = 100 + 10000 and 1/100 + 1/10000 = 0.010100.
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 plaindrome in base 13.
It is a nialpdrome in base 11.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10103) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50 + ... + 150.
210100 is an apocalyptic number.
10100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a pronic number, being equal to 100×101.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067).
10100 is an abundant number, since it is smaller than the sum of its proper divisors (12034).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10100 is a wasteful number, since it uses less digits than its factorization.
10100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 115 (or 108 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 2.
The square root of 10100 is about 100.4987562112. The cubic root of 10100 is about 21.6159233295.
Adding to 10100 its reverse (101), we get a palindrome (10201).
Subtracting from 10100 its reverse (101), we obtain a palindrome (9999).
Multiplying 10100 by its reverse (101), we get a square (1020100 = 10102).
10100 divided by its reverse (101) gives a square (100 = 102).
The spelling of 10100 in words is "ten thousand, one hundred", and thus it is an iban number.
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