100854 has 24 divisors (see below), whose sum is σ = 235872. Its totient is φ = 30960.

The previous prime is 100853. The next prime is 100907. The reversal of 100854 is 458001.

100854 = 82² + 83² + ... + 94².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100853) 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, 19 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2¹⁰⁰⁸⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936).

100854 is an abundant number, since it is smaller than the sum of its proper divisors (135018).

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

100854 is a wasteful number, since it uses less digits than its factorization.

100854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 100854 is about 317.5751879477. The cubic root of 100854 is about 46.5476445410.

Adding to 100854 its reverse (458001), we get a palindrome (558855).

The spelling of 100854 in words is "one hundred thousand, eight hundred fifty-four".