105872063 has 8 divisors (see below), whose sum is σ = 118183296. Its totient is φ = 94008600.

The previous prime is 105872057. The next prime is 105872071. The reversal of 105872063 is 360278501.

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 105872063 - 2⁸ = 105871807 is a prime.

It is a super-2 number, since 2×105872063² = 22417787447751938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105872003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111443 + ... + 112388.

It is an arithmetic number, because the mean of its divisors is an integer number (14772912).

Almost surely, 2^105872063 is an apocalyptic number.

105872063 is a deficient number, since it is larger than the sum of its proper divisors (12311233).

105872063 is a wasteful number, since it uses less digits than its factorization.

105872063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223885.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 105872063 is about 10289.4150951354. The cubic root of 105872063 is about 473.0718706857.

The spelling of 105872063 in words is "one hundred five million, eight hundred seventy-two thousand, sixty-three".