30944328100 has 135 divisors (see below), whose sum is σ = 78554876897. Its totient is φ = 10579931040.

The previous prime is 30944328071. The next prime is 30944328127. The reversal of 30944328100 is 182344903.

The square root of 30944328100 is 175910.

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., 11139958116 + 19804369984 = 105546^2 + 140728^2 .

It is a super-2 number, since 2×30944328100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 86195721 + ... + 86196079.

Almost surely, 2^30944328100 is an apocalyptic number.

30944328100 is the 175910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30944328100

30944328100 is an abundant number, since it is smaller than the sum of its proper divisors (47610548797).

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

30944328100 is an frugal number, since it uses more digits than its factorization.

30944328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Multiplying 30944328100 by its product of nonzero digits (20736), we get a square (641661587481600 = 25331040²).

The spelling of 30944328100 in words is "thirty billion, nine hundred forty-four million, three hundred twenty-eight thousand, one hundred".