30663512100 has 243 divisors, whose sum is σ = 104307414393. Its totient is φ = 7531130880.

The previous prime is 30663512063. The next prime is 30663512107. The reversal of 30663512100 is 121536603.

The square root of 30663512100 is 175110.

It is a perfect power (a square), and thus also a powerful number.

30663512100 is a `hidden beast` number, since 3 + 0 + 6 + 635 + 1 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 26757762084 + 3905750016 = 163578^2 + 62496^2 .

It is not an unprimeable number, because it can be changed into a prime (30663512107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 68292676 + ... + 68293124.

Almost surely, 2^30663512100 is an apocalyptic number.

30663512100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30663512100 is the 175110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30663512100

30663512100 is an abundant number, since it is smaller than the sum of its proper divisors (73643902293).

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

30663512100 is a wasteful number, since it uses less digits than its factorization.

30663512100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 30663512100 in words is "thirty billion, six hundred sixty-three million, five hundred twelve thousand, one hundred".