32945880100 has 81 divisors (see below), whose sum is σ = 83196899667. Its totient is φ = 11291374080.

The previous prime is 32945880043. The next prime is 32945880109. The reversal of 32945880100 is 108854923.

The square root of 32945880100 is 181510.

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 45724644 + 32900155456 = 6762^2 + 181384^2 .

It is not an unprimeable number, because it can be changed into a prime (32945880109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12704404 + ... + 12706996.

Almost surely, 2^32945880100 is an apocalyptic number.

32945880100 is the 181510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32945880100

32945880100 is an abundant number, since it is smaller than the sum of its proper divisors (50251019567).

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

32945880100 is an equidigital number, since it uses as much as digits as its factorization.

32945880100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 32945880100 in words is "thirty-two billion, nine hundred forty-five million, eight hundred eighty thousand, one hundred".