107270618265409 has 9 divisors (see below), whose sum is σ = 112137587209249. Its totient is φ = 102606450483460.

The previous prime is 107270618265407. The next prime is 107270618265467. The reversal of 107270618265409 is 904562816072701.

The square root of 107270618265409 is 10357153.

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

It is not a de Polignac number, because 107270618265409 - 2¹ = 107270618265407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107270618265407) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 237989364 + ... + 238439674.

Almost surely, 2^{107270618265409} is an apocalyptic number.

107270618265409 is the 10357153-rd square number.

107270618265409 is the 5178577-th centered octagonal number.

It is an amenable number.

107270618265409 is a deficient number, since it is larger than the sum of its proper divisors (4866968943840).

107270618265409 is an frugal number, since it uses more digits than its factorization.

107270618265409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900668 (or 450334 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 107270618265409 in words is "one hundred seven trillion, two hundred seventy billion, six hundred eighteen million, two hundred sixty-five thousand, four hundred nine".