107558417521 has 27 divisors (see below), whose sum is σ = 114481338699. Its totient is φ = 101048719632.

The previous prime is 107558417503. The next prime is 107558417531. The reversal of 107558417521 is 125714855701.

The square root of 107558417521 is 327961.

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

It can be written as a sum of positive squares in only one way, i.e., 56401025121 + 51157392400 = 237489^2 + 226180^2 .

It is not a de Polignac number, because 107558417521 - 2⁹ = 107558417009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107558417531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 408967236 + ... + 408967498.

Almost surely, 2^107558417521 is an apocalyptic number.

107558417521 is the 327961-st square number.

107558417521 is the 163981-st centered octagonal number.

It is an amenable number.

107558417521 is a deficient number, since it is larger than the sum of its proper divisors (6922921178).

107558417521 is an frugal number, since it uses more digits than its factorization.

107558417521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 46.

The spelling of 107558417521 in words is "one hundred seven billion, five hundred fifty-eight million, four hundred seventeen thousand, five hundred twenty-one".