107319281688004 has 27 divisors (see below), whose sum is σ = 188640789729357. Its totient is φ = 53422957301808.

The previous prime is 107319281687999. The next prime is 107319281688007. The reversal of 107319281688004 is 400886182913701.

The square root of 107319281688004 is 10359502.

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., 99951965769604 + 7367315918400 = 9997598^2 + 2714280^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107319281688004.

It is not an unprimeable number, because it can be changed into a prime (107319281688007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4744640607 + ... + 4744663225.

Almost surely, 2^{107319281688004} is an apocalyptic number.

107319281688004 is the 10359502-nd square number.

It is an amenable number.

107319281688004 is a deficient number, since it is larger than the sum of its proper divisors (81321508041353).

107319281688004 is an frugal number, since it uses more digits than its factorization.

107319281688004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45700 (or 22850 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 107319281688004 in words is "one hundred seven trillion, three hundred nineteen billion, two hundred eighty-one million, six hundred eighty-eight thousand, four".