105535166565 has 16 divisors (see below), whose sum is σ = 168952632768. Its totient is φ = 56253300096.

The previous prime is 105535166449. The next prime is 105535166579. The reversal of 105535166565 is 565661535501.

It is not a de Polignac number, because 105535166565 - 2²³ = 105526777957 is a prime.

It is a super-2 number, since 2×105535166565² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1980459 + ... + 2033048.

It is an arithmetic number, because the mean of its divisors is an integer number (10559539548).

Almost surely, 2^105535166565 is an apocalyptic number.

105535166565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105535166565 is a deficient number, since it is larger than the sum of its proper divisors (63417466203).

105535166565 is a wasteful number, since it uses less digits than its factorization.

105535166565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015268.

The product of its (nonzero) digits is 2025000, while the sum is 48.

The spelling of 105535166565 in words is "one hundred five billion, five hundred thirty-five million, one hundred sixty-six thousand, five hundred sixty-five".