100254 has 48 divisors (see below), whose sum is σ = 262656. Its totient is φ = 25200.

The previous prime is 100237. The next prime is 100267. The reversal of 100254 is 452001.

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 100254.

It is an unprimeable number.

100254 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3219 + ... + 3249.

It is an arithmetic number, because the mean of its divisors is an integer number (5472).

2¹⁰⁰²⁵⁴ is an apocalyptic number.

100254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328).

100254 is an abundant number, since it is smaller than the sum of its proper divisors (162402).

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

100254 is a wasteful number, since it uses less digits than its factorization.

100254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 100254 is about 316.6291205812. The cubic root of 100254 is about 46.4551538955.

Adding to 100254 its reverse (452001), we get a palindrome (552255).

The spelling of 100254 in words is "one hundred thousand, two hundred fifty-four".