105038075 has 12 divisors (see below), whose sum is σ = 134449728. Its totient is φ = 81319200.

The previous prime is 105038071. The next prime is 105038083. The reversal of 105038075 is 570830501.

It is not a de Polignac number, because 105038075 - 2² = 105038071 is a prime.

It is a super-2 number, since 2×105038075² = 22065994399411250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105038071) 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 11 ways as a sum of consecutive naturals, for example, 66992 + ... + 68541.

It is an arithmetic number, because the mean of its divisors is an integer number (11204144).

Almost surely, 2^105038075 is an apocalyptic number.

105038075 is a deficient number, since it is larger than the sum of its proper divisors (29411653).

105038075 is a wasteful number, since it uses less digits than its factorization.

105038075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135574 (or 135569 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 105038075 is about 10248.8084673293. The cubic root of 105038075 is about 471.8264153303.

Adding to 105038075 its reverse (570830501), we get a palindrome (675868576).

The spelling of 105038075 in words is "one hundred five million, thirty-eight thousand, seventy-five".