32037420100 has 81 divisors (see below), whose sum is σ = 80903241783. Its totient is φ = 10979962560.

The previous prime is 32037420097. The next prime is 32037420109. The reversal of 32037420100 is 102473023.

The square root of 32037420100 is 178990.

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 1432016964 + 30605403136 = 37842^2 + 174944^2 .

It is not an unprimeable number, because it can be changed into a prime (32037420109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12528022 + ... + 12530578.

Almost surely, 2^32037420100 is an apocalyptic number.

32037420100 is the 178990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32037420100

32037420100 is an abundant number, since it is smaller than the sum of its proper divisors (48865821683).

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

32037420100 is an equidigital number, since it uses as much as digits as its factorization.

32037420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

Adding to 32037420100 its reverse (102473023), we get a palindrome (32139893123).

The spelling of 32037420100 in words is "thirty-two billion, thirty-seven million, four hundred twenty thousand, one hundred".