100893 has 12 divisors (see below), whose sum is σ = 146400. Its totient is φ = 61776.

The previous prime is 100853. The next prime is 100907. The reversal of 100893 is 398001.

It is not a de Polignac number, because 100893 - 2⁶ = 100829 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100893.

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, 408 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (12200).

2¹⁰⁰⁸⁹³ is an apocalyptic number.

100893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100893 is a deficient number, since it is larger than the sum of its proper divisors (45507).

100893 is a wasteful number, since it uses less digits than its factorization.

100893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 100893 is about 317.6365847946. The cubic root of 100893 is about 46.5536437220.

Adding to 100893 its reverse (398001), we get a palindrome (498894).

The spelling of 100893 in words is "one hundred thousand, eight hundred ninety-three".