105033075 has 24 divisors (see below), whose sum is σ = 198463488. Its totient is φ = 48014880.

The previous prime is 105033037. The next prime is 105033101. The reversal of 105033075 is 570330501.

It is not a de Polignac number, because 105033075 - 2¹⁰ = 105032051 is a prime.

It is a super-2 number, since 2×105033075² = 22063893687911250, which 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 23 ways as a sum of consecutive naturals, for example, 99507 + ... + 100556.

It is an arithmetic number, because the mean of its divisors is an integer number (8269312).

Almost surely, 2^105033075 is an apocalyptic number.

105033075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105033075 is a deficient number, since it is larger than the sum of its proper divisors (93430413).

105033075 is a wasteful number, since it uses less digits than its factorization.

105033075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200083 (or 200078 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 105033075 is about 10248.5645336310. The cubic root of 105033075 is about 471.8189286181.

Adding to 105033075 its reverse (570330501), we get a palindrome (675363576).

The spelling of 105033075 in words is "one hundred five million, thirty-three thousand, seventy-five".