30593508100 has 27 divisors (see below), whose sum is σ = 66391708341. Its totient is φ = 12236703600.

The previous prime is 30593508073. The next prime is 30593508109. The reversal of 30593508100 is 180539503.

The square root of 30593508100 is 174910.

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., 11013662916 + 19579845184 = 104946^2 + 139928^2 .

It is a super-2 number, since 2×30593508100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30593508109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1740355 + ... + 1757845.

Almost surely, 2^30593508100 is an apocalyptic number.

30593508100 is the 174910-th square number.

It is an amenable number.

30593508100 is an abundant number, since it is smaller than the sum of its proper divisors (35798200241).

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

30593508100 is an frugal number, since it uses more digits than its factorization.

30593508100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34996 (or 17498 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 30593508100 in words is "thirty billion, five hundred ninety-three million, five hundred eight thousand, one hundred".