105105533 has 8 divisors (see below), whose sum is σ = 113433600. Its totient is φ = 96812208.

The previous prime is 105105499. The next prime is 105105551. The reversal of 105105533 is 335501501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105105533 - 2⁸ = 105105277 is a prime.

It is a super-2 number, since 2×105105533² = 22094346134428178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105105499 and 105105508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2213 + ... + 14666.

It is an arithmetic number, because the mean of its divisors is an integer number (14179200).

Almost surely, 2^105105533 is an apocalyptic number.

105105533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105105533 is a deficient number, since it is larger than the sum of its proper divisors (8328067).

105105533 is a wasteful number, since it uses less digits than its factorization.

105105533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17371.

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 105105533 is about 10252.0989558236. The cubic root of 105105533 is about 471.9273998386.

The spelling of 105105533 in words is "one hundred five million, one hundred five thousand, five hundred thirty-three".