105616863 has 24 divisors (see below), whose sum is σ = 169575120. Its totient is φ = 62799360.

The previous prime is 105616859. The next prime is 105616867. The reversal of 105616863 is 368616501.

It is a happy number.

105616863 is a `hidden beast` number, since 10 + 561 + 6 + 86 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (105616859) and next prime (105616867).

It is not a de Polignac number, because 105616863 - 2² = 105616859 is a prime.

It is a super-2 number, since 2×105616863² = 22309843499921538, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105616867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4818 + ... + 15311.

It is an arithmetic number, because the mean of its divisors is an integer number (7065630).

Almost surely, 2^105616863 is an apocalyptic number.

105616863 is a deficient number, since it is larger than the sum of its proper divisors (63958257).

105616863 is a wasteful number, since it uses less digits than its factorization.

105616863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20199 (or 20196 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105616863 is about 10277.0065194102. The cubic root of 105616863 is about 472.6914584812.

It can be divided in two parts, 10561 and 6863, that added together give a square (17424 = 132²).

The spelling of 105616863 in words is "one hundred five million, six hundred sixteen thousand, eight hundred sixty-three".