105535166343 has 16 divisors (see below), whose sum is σ = 146542716000. Its totient is φ = 67474762880.

The previous prime is 105535166291. The next prime is 105535166357. The reversal of 105535166343 is 343661535501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105535166343 - 2⁶ = 105535166279 is a prime.

It is a super-2 number, since 2×105535166343² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105535166295 and 105535166304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535166393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4057668 + ... + 4083593.

It is an arithmetic number, because the mean of its divisors is an integer number (9158919750).

Almost surely, 2^105535166343 is an apocalyptic number.

105535166343 is a deficient number, since it is larger than the sum of its proper divisors (41007549657).

105535166343 is a wasteful number, since it uses less digits than its factorization.

105535166343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8141442.

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 105535166343 in words is "one hundred five billion, five hundred thirty-five million, one hundred sixty-six thousand, three hundred forty-three".