30064092100 has 81 divisors (see below), whose sum is σ = 75921008583. Its totient is φ = 10303527360.

The previous prime is 30064092089. The next prime is 30064092127. The reversal of 30064092100 is 129046003.

The square root of 30064092100 is 173390.

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 584575684 + 29479516416 = 24178^2 + 171696^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12136062 + ... + 12138538.

Almost surely, 2^30064092100 is an apocalyptic number.

30064092100 is the 173390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30064092100

30064092100 is an abundant number, since it is smaller than the sum of its proper divisors (45856916483).

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

30064092100 is an equidigital number, since it uses as much as digits as its factorization.

30064092100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Multiplying 30064092100 by its sum of digits (25), we get a square (751602302500 = 866950²).

30064092100 divided by its sum of digits (25) gives a square (1202563684 = 34678²).

Multiplying 30064092100 by its product of nonzero digits (1296), we get a square (38963063361600 = 6242040²).

The spelling of 30064092100 in words is "thirty billion, sixty-four million, ninety-two thousand, one hundred".