107584503567025 has 27 divisors (see below), whose sum is σ = 141714894274369. Its totient is φ = 81004138858880.

The previous prime is 107584503566993. The next prime is 107584503567071. The reversal of 107584503567025 is 520765305485701.

The square root of 107584503567025 is 10372295.

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 2516509495201 + 105067994071824 = 1586351^2 + 10250268^2 .

It is not a de Polignac number, because 107584503567025 - 2⁵ = 107584503566993 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 26 ways as a sum of consecutive naturals, for example, 881584062 + ... + 881706088.

Almost surely, 2^{107584503567025} is an apocalyptic number.

107584503567025 is the 10372295-th square number.

107584503567025 is the 5186148-th centered octagonal number.

It is an amenable number.

107584503567025 is a deficient number, since it is larger than the sum of its proper divisors (34130390707344).

107584503567025 is an frugal number, since it uses more digits than its factorization.

107584503567025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244098 (or 122049 counting only the distinct ones).

The product of its (nonzero) digits is 35280000, while the sum is 58.

The spelling of 107584503567025 in words is "one hundred seven trillion, five hundred eighty-four billion, five hundred three million, five hundred sixty-seven thousand, twenty-five".