105075991 has 8 divisors (see below), whose sum is σ = 107078400. Its totient is φ = 103081080.

The previous prime is 105075979. The next prime is 105076003. The reversal of 105075991 is 199570501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105075979) and next prime (105076003).

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 105075991 - 2¹³ = 105067799 is a prime.

It is a super-2 number, since 2×105075991² = 22081927769264162, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105075991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105075931) 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, 32130 + ... + 35248.

It is an arithmetic number, because the mean of its divisors is an integer number (13384800).

Almost surely, 2^105075991 is an apocalyptic number.

105075991 is a deficient number, since it is larger than the sum of its proper divisors (2002409).

105075991 is an equidigital number, since it uses as much as digits as its factorization.

105075991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749.

The product of its (nonzero) digits is 14175, while the sum is 37.

The square root of 105075991 is about 10250.6580764359. The cubic root of 105075991 is about 471.8831808356.

The spelling of 105075991 in words is "one hundred five million, seventy-five thousand, nine hundred ninety-one".