29980100 has 72 divisors (see below), whose sum is σ = 70828800. Its totient is φ = 10972800.

The previous prime is 29980057. The next prime is 29980103. The reversal of 29980100 is 108992.

It is not an unprimeable number, because it can be changed into a prime (29980103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58646 + ... + 59154.

Almost surely, 2^29980100 is an apocalyptic number.

29980100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29980100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35414400).

29980100 is an abundant number, since it is smaller than the sum of its proper divisors (40848700).

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

29980100 is a wasteful number, since it uses less digits than its factorization.

29980100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 29980100 is about 5475.4086605476. The cubic root of 29980100 is about 310.6545310353.

The spelling of 29980100 in words is "twenty-nine million, nine hundred eighty thousand, one hundred".