29967072100 has 81 divisors (see below), whose sum is σ = 75676052907. Its totient is φ = 10270270080.

The previous prime is 29967072073. The next prime is 29967072139. The reversal of 29967072100 is 127076992.

The square root of 29967072100 is 173110.

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 391327524 + 29575744576 = 19782^2 + 171976^2 .

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, 12116464 + ... + 12118936.

Almost surely, 2^29967072100 is an apocalyptic number.

29967072100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29967072100 is the 173110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29967072100

29967072100 is an abundant number, since it is smaller than the sum of its proper divisors (45708980807).

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

29967072100 is an equidigital number, since it uses as much as digits as its factorization.

29967072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 29967072100 in words is "twenty-nine billion, nine hundred sixty-seven million, seventy-two thousand, one hundred".