100827 has 12 divisors (see below), whose sum is σ = 154440. Its totient is φ = 63168.

The previous prime is 100823. The next prime is 100829. The reversal of 100827 is 728001.

Added to its reverse (728001) it gives a triangular number (828828 = T₁₂₈₇).

100827 = 23³ + 24³ + ... + 28³.

It is not a de Polignac number, because 100827 - 2² = 100823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (12870).

2¹⁰⁰⁸²⁷ is an apocalyptic number.

100827 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

100827 is a deficient number, since it is larger than the sum of its proper divisors (53613).

100827 is a wasteful number, since it uses less digits than its factorization.

100827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 100827 is about 317.5326754840. The cubic root of 100827 is about 46.5434903559.

Adding to 100827 its reverse (728001), we get a palindrome (828828).

It can be divided in two parts, 1008 and 27, that added together give a triangular number (1035 = T₄₅).

The spelling of 100827 in words is "one hundred thousand, eight hundred twenty-seven".