105071533 has 8 divisors (see below), whose sum is σ = 122532800. Its totient is φ = 90061020.

The previous prime is 105071513. The next prime is 105071537. The reversal of 105071533 is 335170501.

It is not a de Polignac number, because 105071533 - 2²⁵ = 71517101 is a prime.

It is a super-2 number, since 2×105071533² = 22080054093940178, 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 = 105071498 and 105071507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105071537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152823 + ... + 153508.

It is an arithmetic number, because the mean of its divisors is an integer number (15316600).

Almost surely, 2^105071533 is an apocalyptic number.

It is an amenable number.

105071533 is a deficient number, since it is larger than the sum of its proper divisors (17461267).

105071533 is an frugal number, since it uses more digits than its factorization.

105071533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306352 (or 306338 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 105071533 is about 10250.4406246756. The cubic root of 105071533 is about 471.8765073004.

The spelling of 105071533 in words is "one hundred five million, seventy-one thousand, five hundred thirty-three".