68806536100 has 81 divisors (see below), whose sum is σ = 158712639267. Its totient is φ = 25886849280.

The previous prime is 68806536041. The next prime is 68806536109. The reversal of 68806536100 is 163560886.

The square root of 68806536100 is 262310.

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 1609453924 + 67197082176 = 40118^2 + 259224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68806536109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44591929 + ... + 44593471.

Almost surely, 2^68806536100 is an apocalyptic number.

68806536100 is the 262310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68806536100

68806536100 is an abundant number, since it is smaller than the sum of its proper divisors (89906103167).

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

68806536100 is a wasteful number, since it uses less digits than its factorization.

68806536100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 68806536100 in words is "sixty-eight billion, eight hundred six million, five hundred thirty-six thousand, one hundred".