31085216100 has 189 divisors, whose sum is σ = 101291229403. Its totient is φ = 8276696640.

The previous prime is 31085216033. The next prime is 31085216111. The reversal of 31085216100 is 161258013.

The square root of 31085216100 is 176310.

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

31085216100 is a `hidden beast` number, since 31 + 0 + 8 + 521 + 6 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5259440484 + 25825775616 = 72522^2 + 160704^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 47603374 + ... + 47604026.

Almost surely, 2^31085216100 is an apocalyptic number.

31085216100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31085216100 is the 176310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31085216100

31085216100 is an abundant number, since it is smaller than the sum of its proper divisors (70206013303).

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

31085216100 is an frugal number, since it uses more digits than its factorization.

31085216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 31085216100 in words is "thirty-one billion, eighty-five million, two hundred sixteen thousand, one hundred".