360100 has 36 divisors (see below), whose sum is σ = 844564. Its totient is φ = 132480.

The previous prime is 360091. The next prime is 360163. The reversal of 360100 is 1063.

It can be written as a sum of positive squares in 6 ways, for example, as 87616 + 272484 = 296^2 + 522^2 .

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

It is a congruent number.

It is an unprimeable number.

360100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 1162 + ... + 1438.

2³⁶⁰¹⁰⁰ 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 360100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422282).

360100 is an abundant number, since it is smaller than the sum of its proper divisors (484464).

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

360100 is a wasteful number, since it uses less digits than its factorization.

360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

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

The square root of 360100 is about 600.0833275471. The cubic root of 360100 is about 71.1444523195.

Multiplying 360100 by its product of nonzero digits (18), we get a triangular number (6481800 = T₃₆₀₀).

Adding to 360100 its reverse (1063), we get a palindrome (361163).

It can be divided in two parts, 3 and 60100, that multiplied together give a triangular number (180300 = T₆₀₀).

The spelling of 360100 in words is "three hundred sixty thousand, one hundred".