105072071 has 8 divisors (see below), whose sum is σ = 119110320. Its totient is φ = 91884672.

The previous prime is 105072067. The next prime is 105072083. The reversal of 105072071 is 170270501.

It is a happy number.

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 105072071 - 2² = 105072067 is a prime.

It is a super-2 number, since 2×105072071² = 22080280208458082, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105072001) 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, 212450 + ... + 212943.

It is an arithmetic number, because the mean of its divisors is an integer number (14888790).

Almost surely, 2^105072071 is an apocalyptic number.

105072071 is a deficient number, since it is larger than the sum of its proper divisors (14038249).

105072071 is a wasteful number, since it uses less digits than its factorization.

105072071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425425.

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 105072071 is about 10250.4668674163. The cubic root of 105072071 is about 471.8773126855.

The spelling of 105072071 in words is "one hundred five million, seventy-two thousand, seventy-one".