361380100 has 27 divisors (see below), whose sum is σ = 784607551. Its totient is φ = 144476000.

The previous prime is 361380083. The next prime is 361380143. The reversal of 361380100 is 1083163.

The square root of 361380100 is 19010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 126922756 + 234457344 = 11266^2 + 15312^2 .

It is a Duffinian number.

It is an unprimeable 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 8 ways as a sum of consecutive naturals, for example, 189150 + ... + 191050.

Almost surely, 2^361380100 is an apocalyptic number.

361380100 is the 19010-th square number.

It is an amenable number.

361380100 is an abundant number, since it is smaller than the sum of its proper divisors (423227451).

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

361380100 is an equidigital number, since it uses as much as digits as its factorization.

361380100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 361380100 is about 712.2865514309.

The spelling of 361380100 in words is "three hundred sixty-one million, three hundred eighty thousand, one hundred".