30360100 has 81 divisors (see below), whose sum is σ = 72011667. Its totient is φ = 11108160.

The previous prime is 30360059. The next prime is 30360101. The reversal of 30360100 is 106303.

The square root of 30360100 is 5510.

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 417316 + 29942784 = 646^2 + 5472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30360101) 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 26 ways as a sum of consecutive naturals, for example, 1046886 + ... + 1046914.

Almost surely, 2^30360100 is an apocalyptic number.

30360100 is the 5510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30360100

30360100 is an abundant number, since it is smaller than the sum of its proper divisors (41651567).

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

30360100 is a wasteful number, since it uses less digits than its factorization.

30360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The cubic root of 30360100 is about 311.9615474198.

Adding to 30360100 its reverse (106303), we get a palindrome (30466403).

The spelling of 30360100 in words is "thirty million, three hundred sixty thousand, one hundred".