29752800100 has 81 divisors (see below), whose sum is σ = 66146731833. Its totient is φ = 11616166560.

The previous prime is 29752800097. The next prime is 29752800101. The reversal of 29752800100 is 100825792.

The square root of 29752800100 is 172490.

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., 10711008036 + 19041792064 = 103494^2 + 137992^2 .

It is a super-2 number, since 2×29752800100² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29752800101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81070117 + ... + 81070483.

Almost surely, 2^29752800100 is an apocalyptic number.

29752800100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29752800100 is the 172490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29752800100

29752800100 is an abundant number, since it is smaller than the sum of its proper divisors (36393931733).

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

29752800100 is an equidigital number, since it uses as much as digits as its factorization.

29752800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 29752800100 in words is "twenty-nine billion, seven hundred fifty-two million, eight hundred thousand, one hundred".