106581775584025 has 81 divisors (see below), whose sum is σ = 163323611691357. Its totient is φ = 68781584928000.

The previous prime is 106581775583977. The next prime is 106581775584083. The reversal of 106581775584025 is 520485577185601.

The square root of 106581775584025 is 10323845.

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 2493054681481 + 104088720902544 = 1578941^2 + 10202388^2 .

It is not a de Polignac number, because 106581775584025 - 2⁹ = 106581775583513 is a prime.

It is a super-2 number, since 2×106581775584025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6142679100 + ... + 6142696450.

Almost surely, 2^{106581775584025} is an apocalyptic number.

106581775584025 is the 10323845-th square number.

106581775584025 is the 5161923-rd centered octagonal number.

It is an amenable number.

106581775584025 is a deficient number, since it is larger than the sum of its proper divisors (56741836107332).

106581775584025 is an frugal number, since it uses more digits than its factorization.

106581775584025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34760 (or 17380 counting only the distinct ones).

The product of its (nonzero) digits is 94080000, while the sum is 64.

The spelling of 106581775584025 in words is "one hundred six trillion, five hundred eighty-one billion, seven hundred seventy-five million, five hundred eighty-four thousand, twenty-five".