107585312607556 has 81 divisors (see below), whose sum is σ = 220296553863519. Its totient is φ = 45839326922256.

The previous prime is 107585312607551. The next prime is 107585312607569. The reversal of 107585312607556 is 655706213585701.

The square root of 107585312607556 is 10372334.

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

It is a junction number, because it is equal to n+sod(n) for n = 107585312607494 and 107585312607503.

It is not an unprimeable number, because it can be changed into a prime (107585312607551) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25993066935 + ... + 25993071073.

Almost surely, 2^{107585312607556} is an apocalyptic number.

107585312607556 is the 10372334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107585312607556

107585312607556 is an abundant number, since it is smaller than the sum of its proper divisors (112711241255963).

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

107585312607556 is an frugal number, since it uses more digits than its factorization.

107585312607556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8654 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 61.

The spelling of 107585312607556 in words is "one hundred seven trillion, five hundred eighty-five billion, three hundred twelve million, six hundred seven thousand, five hundred fifty-six".