100661590650625 has 15 divisors (see below), whose sum is σ = 125787037109503. Its totient is φ = 80529071860000.

The previous prime is 100661590650617. The next prime is 100661590650637. The reversal of 100661590650625 is 526056095166001.

The square root of 100661590650625 is 10033025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 100535775723009 + 125814927616 = 10026753^2 + 354704^2 .

It is not a de Polignac number, because 100661590650625 - 2³ = 100661590650617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 250624965 + ... + 251026285.

Almost surely, 2^{100661590650625} is an apocalyptic number.

100661590650625 is the 10033025-th square number.

100661590650625 is the 5016513-rd centered octagonal number.

It is an amenable number.

100661590650625 is a deficient number, since it is larger than the sum of its proper divisors (25125446458878).

100661590650625 is an frugal number, since it uses more digits than its factorization.

100661590650625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802662 (or 401326 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 52.

The spelling of 100661590650625 in words is "one hundred trillion, six hundred sixty-one billion, five hundred ninety million, six hundred fifty thousand, six hundred twenty-five".