31680440100 has 243 divisors, whose sum is σ = 105788507097. Its totient is φ = 7928386560.

The previous prime is 31680440093. The next prime is 31680440119. The reversal of 31680440100 is 104408613.

The square root of 31680440100 is 177990.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4542490404 + 27137949696 = 67398^2 + 164736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 90774726 + ... + 90775074.

Almost surely, 2^31680440100 is an apocalyptic number.

31680440100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31680440100 is the 177990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31680440100

31680440100 is an abundant number, since it is smaller than the sum of its proper divisors (74108066997).

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

31680440100 is a wasteful number, since it uses less digits than its factorization.

31680440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 31680440100 by its product of nonzero digits (2304), we get a square (72991733990400 = 8543520²).

Adding to 31680440100 its reverse (104408613), we get a palindrome (31784848713).

The spelling of 31680440100 in words is "thirty-one billion, six hundred eighty million, four hundred forty thousand, one hundred".