100650975990016 has 81 divisors (see below), whose sum is σ = 201435315975621. Its totient is φ = 50193941907456.

The previous prime is 100650975990013. The next prime is 100650975990017. The reversal of 100650975990016 is 610099579056001.

The square root of 100650975990016 is 10032496.

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., 97173854982400 + 3477121007616 = 9857680^2 + 1864704^2 .

It is a super-2 number, since 2×100650975990016² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100650975990013) 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 8 ways as a sum of consecutive naturals, for example, 97435600636 + ... + 97435601668.

Almost surely, 2^{100650975990016} is an apocalyptic number.

100650975990016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100650975990016 is the 10032496-th square number.

It is an amenable number.

100650975990016 is an abundant number, since it is smaller than the sum of its proper divisors (100784339985605).

100650975990016 is an frugal number, since it uses more digits than its factorization.

100650975990016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 58.

The spelling of 100650975990016 in words is "one hundred trillion, six hundred fifty billion, nine hundred seventy-five million, nine hundred ninety thousand, sixteen".