107946863503504 has 45 divisors (see below), whose sum is σ = 214955506551051. Its totient is φ = 52513942291200.

The previous prime is 107946863503487. The next prime is 107946863503573. The reversal of 107946863503504 is 405305368649701.

It is a happy number.

The square root of 107946863503504 is 10389748.

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 61260363610000 + 46686499893504 = 7826900^2 + 6832752^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 1537647604 + ... + 1537717804.

Almost surely, 2^{107946863503504} is an apocalyptic number.

107946863503504 is the 10389748-th square number.

It is an amenable number.

107946863503504 is a deficient number, since it is larger than the sum of its proper divisors (107008643047547).

107946863503504 is an frugal number, since it uses more digits than its factorization.

107946863503504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140484 (or 70240 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 61.

The spelling of 107946863503504 in words is "one hundred seven trillion, nine hundred forty-six billion, eight hundred sixty-three million, five hundred three thousand, five hundred four".