100139568664576 has 195 divisors, whose sum is σ = 233689803967943. Its totient is φ = 42903508623360.

The previous prime is 100139568664559. The next prime is 100139568664579. The reversal of 100139568664576 is 675466865931001.

The square root of 100139568664576 is 10006976.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100139568664579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 31381875141 + ... + 31381878331.

Almost surely, 2^{100139568664576} is an apocalyptic number.

100139568664576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100139568664576 is the 10006976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100139568664576

100139568664576 is an abundant number, since it is smaller than the sum of its proper divisors (133550235303367).

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

100139568664576 is an frugal number, since it uses more digits than its factorization.

100139568664576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 67.

The spelling of 100139568664576 in words is "one hundred trillion, one hundred thirty-nine billion, five hundred sixty-eight million, six hundred sixty-four thousand, five hundred seventy-six".