105000075 has 72 divisors (see below), whose sum is σ = 201893328. Its totient is φ = 51978240.

The previous prime is 105000073. The next prime is 105000107. The reversal of 105000075 is 570000501.

It is a happy number.

It is not a de Polignac number, because 105000075 - 2¹ = 105000073 is a prime.

It is a super-2 number, since 2×105000075² = 22050031500011250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105000073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 370884 + ... + 371166.

It is an arithmetic number, because the mean of its divisors is an integer number (2804074).

Almost surely, 2^105000075 is an apocalyptic number.

105000075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105000075 is a deficient number, since it is larger than the sum of its proper divisors (96893253).

105000075 is a wasteful number, since it uses less digits than its factorization.

105000075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 105000075 is about 10246.9544255842. The cubic root of 105000075 is about 471.7695103577.

Adding to 105000075 its reverse (570000501), we get a palindrome (675000576).

The spelling of 105000075 in words is "one hundred five million, seventy-five", and thus it is an aban number.