100360 has 32 divisors (see below), whose sum is σ = 244440. Its totient is φ = 36864.

The previous prime is 100357. The next prime is 100361. The reversal of 100360 is 63001.

It can be written as a sum of positive squares in 4 ways, for example, as 49284 + 51076 = 222^2 + 226^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424 + ... + 616.

2¹⁰⁰³⁶⁰ is an apocalyptic number.

100360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122220).

100360 is an abundant number, since it is smaller than the sum of its proper divisors (144080).

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

100360 is a wasteful number, since it uses less digits than its factorization.

100360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 100360 is about 316.7964646267. The cubic root of 100360 is about 46.4715206966.

Adding to 100360 its reverse (63001), we get a palindrome (163361).

The spelling of 100360 in words is "one hundred thousand, three hundred sixty".