29052100 has 135 divisors (see below), whose sum is σ = 80839661. Its totient is φ = 9055200.

The previous prime is 29052061. The next prime is 29052143. The reversal of 29052100 is 125092.

The square root of 29052100 is 5390.

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

It can be written as a sum of positive squares in only one way, i.e., 10458756 + 18593344 = 3234^2 + 4312^2 .

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 2641095 + ... + 2641105.

Almost surely, 2^29052100 is an apocalyptic number.

29052100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29052100 is the 5390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29052100

29052100 is an abundant number, since it is smaller than the sum of its proper divisors (51787561).

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

29052100 is a wasteful number, since it uses less digits than its factorization.

29052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The cubic root of 29052100 is about 307.4155583681.

Adding to 29052100 its reverse (125092), we get a palindrome (29177192).

It can be divided in two parts, 2905 and 2100, that added together give a palindrome (5005).

The spelling of 29052100 in words is "twenty-nine million, fifty-two thousand, one hundred".