100386 has 48 divisors (see below), whose sum is σ = 263520. Its totient is φ = 28080.

The previous prime is 100379. The next prime is 100391. The reversal of 100386 is 683001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7716 + ... + 7728.

It is an arithmetic number, because the mean of its divisors is an integer number (5490).

2¹⁰⁰³⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131760).

100386 is an abundant number, since it is smaller than the sum of its proper divisors (163134).

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

100386 is a wasteful number, since it uses less digits than its factorization.

100386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100386 is about 316.8374977808. The cubic root of 100386 is about 46.4755334348.

Adding to 100386 its reverse (683001), we get a palindrome (783387).

It can be divided in two parts, 1003 and 86, that added together give a square (1089 = 33²).

The spelling of 100386 in words is "one hundred thousand, three hundred eighty-six".