30664056100 has 72 divisors (see below), whose sum is σ = 68733100800. Its totient is φ = 11862076800.

The previous prime is 30664056083. The next prime is 30664056121. The reversal of 30664056100 is 165046603.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7248786 + ... + 7253014.

It is an arithmetic number, because the mean of its divisors is an integer number (954626400).

Almost surely, 2^30664056100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30664056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34366550400).

30664056100 is an abundant number, since it is smaller than the sum of its proper divisors (38069044700).

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

30664056100 is a wasteful number, since it uses less digits than its factorization.

30664056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 30664056100 in words is "thirty billion, six hundred sixty-four million, fifty-six thousand, one hundred".