368100 has 54 divisors (see below), whose sum is σ = 1156610. Its totient is φ = 97920.

The previous prime is 368099. The next prime is 368107. The reversal of 368100 is 1863.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 285156 = 288^2 + 534^2 .

It is a super-2 number, since 2×368100² = 270995220000, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368100.

It is not an unprimeable number, because it can be changed into a prime (368107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 696 + ... + 1104.

2³⁶⁸¹⁰⁰ is an apocalyptic number.

368100 is a gapful number since it is divisible by the number (30) 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 368100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578305).

368100 is an abundant number, since it is smaller than the sum of its proper divisors (788510).

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

368100 is a wasteful number, since it uses less digits than its factorization.

368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

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

The square root of 368100 is about 606.7124524847. The cubic root of 368100 is about 71.6674478612.

Adding to 368100 its reverse (1863), we get a palindrome (369963).

It can be divided in two parts, 36 and 8100, that multiplied together give a square (291600 = 540²).

The spelling of 368100 in words is "three hundred sixty-eight thousand, one hundred".