107584656001 has 9 divisors (see below), whose sum is σ = 108112353609. Its totient is φ = 107059526400.

The previous prime is 107584655989. The next prime is 107584656019. The reversal of 107584656001 is 100656485701.

The square root of 107584656001 is 328001.

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 995465601 + 106589190400 = 31551^2 + 326480^2 .

It is not a de Polignac number, because 107584656001 - 2⁹ = 107584655489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107584656301) 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, 79047561 + ... + 79048921.

Almost surely, 2^107584656001 is an apocalyptic number.

107584656001 is the 328001-st square number.

107584656001 is the 164001-st centered octagonal number.

It is an amenable number.

107584656001 is a deficient number, since it is larger than the sum of its proper divisors (527697608).

107584656001 is an frugal number, since it uses more digits than its factorization.

107584656001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 107584656001 in words is "one hundred seven billion, five hundred eighty-four million, six hundred fifty-six thousand, one".