30523584100 has 27 divisors (see below), whose sum is σ = 66239968921. Its totient is φ = 12208734800.

The previous prime is 30523584079. The next prime is 30523584109. The reversal of 30523584100 is 148532503.

The square root of 30523584100 is 174710.

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

It can be written as a sum of positive squares in only one way, i.e., 10988490276 + 19535093824 = 104826^2 + 139768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30523584109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1738365 + ... + 1755835.

Almost surely, 2^30523584100 is an apocalyptic number.

30523584100 is the 174710-th square number.

It is an amenable number.

30523584100 is an abundant number, since it is smaller than the sum of its proper divisors (35716384821).

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

30523584100 is an frugal number, since it uses more digits than its factorization.

30523584100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34956 (or 17478 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Multiplying 30523584100 by its product of nonzero digits (14400), we get a square (439539611040000 = 20965200²).

The spelling of 30523584100 in words is "thirty billion, five hundred twenty-three million, five hundred eighty-four thousand, one hundred".