30733596100 has 81 divisors (see below), whose sum is σ = 68324244807. Its totient is φ = 11999618880.

The previous prime is 30733596067. The next prime is 30733596143. The reversal of 30733596100 is 169533703.

It is a happy number.

The square root of 30733596100 is 175310.

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 295908804 + 30437687296 = 17202^2 + 174464^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30733596100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82395514 + ... + 82395886.

Almost surely, 2^30733596100 is an apocalyptic number.

30733596100 is the 175310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30733596100

30733596100 is an abundant number, since it is smaller than the sum of its proper divisors (37590648707).

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

30733596100 is an equidigital number, since it uses as much as digits as its factorization.

30733596100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 37.

The spelling of 30733596100 in words is "thirty billion, seven hundred thirty-three million, five hundred ninety-six thousand, one hundred".