105593154877609 has 81 divisors (see below), whose sum is σ = 126562472342397. Its totient is φ = 87840786476016.

The previous prime is 105593154877603. The next prime is 105593154877627. The reversal of 105593154877609 is 906778451395501.

The square root of 105593154877609 is 10275853.

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

It is not a de Polignac number, because 105593154877609 - 2¹¹ = 105593154875561 is a prime.

It is a super-2 number, since 2×105593154877609² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105593154877603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 589905893082 + ... + 589905893260.

Almost surely, 2^{105593154877609} is an apocalyptic number.

105593154877609 is the 10275853-rd square number.

105593154877609 is the 5137927-th centered octagonal number.

It is an amenable number.

105593154877609 is a deficient number, since it is larger than the sum of its proper divisors (20969317464788).

105593154877609 is an frugal number, since it uses more digits than its factorization.

105593154877609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 285768000, while the sum is 70.

The spelling of 105593154877609 in words is "one hundred five trillion, five hundred ninety-three billion, one hundred fifty-four million, eight hundred seventy-seven thousand, six hundred nine".