100436 has 24 divisors (see below), whose sum is σ = 213696. Its totient is φ = 40320.

The previous prime is 100417. The next prime is 100447. The reversal of 100436 is 634001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 100436.

It is a congruent number.

It is an unprimeable number.

100436 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 7 ways as a sum of consecutive naturals, for example, 371 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (8904).

2¹⁰⁰⁴³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106848).

100436 is an abundant number, since it is smaller than the sum of its proper divisors (113260).

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

100436 is a wasteful number, since it uses less digits than its factorization.

100436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 100436 is about 316.9163927600. The cubic root of 100436 is about 46.4832482920.

Adding to 100436 its reverse (634001), we get a palindrome (734437).

The spelling of 100436 in words is "one hundred thousand, four hundred thirty-six".