68126220100 has 81 divisors (see below), whose sum is σ = 151601603517. Its totient is φ = 26572906080.

The previous prime is 68126220079. The next prime is 68126220137. The reversal of 68126220100 is 102262186.

The square root of 68126220100 is 261010.

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

It can be written as a sum of positive squares in only one way, i.e., 24525439236 + 43600780864 = 156606^2 + 208808^2 .

It is a super-2 number, since 2×68126220100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112233997 + ... + 112234603.

Almost surely, 2^68126220100 is an apocalyptic number.

68126220100 is the 261010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68126220100

68126220100 is an abundant number, since it is smaller than the sum of its proper divisors (83475383417).

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

68126220100 is an equidigital number, since it uses as much as digits as its factorization.

68126220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Multiplying 68126220100 by its product of nonzero digits (2304), we get a square (156962811110400 = 12528480²).

Adding to 68126220100 its reverse (102262186), we get a palindrome (68228482286).

The spelling of 68126220100 in words is "sixty-eight billion, one hundred twenty-six million, two hundred twenty thousand, one hundred".