105963646 has 32 divisors (see below), whose sum is σ = 171820800. Its totient is φ = 48859200.

The previous prime is 105963631. The next prime is 105963647. The reversal of 105963646 is 646369501.

It is a super-2 number, since 2×105963646² = 22456588547226632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 105963599 and 105963608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105963647) 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 15 ways as a sum of consecutive naturals, for example, 338386 + ... + 338698.

It is an arithmetic number, because the mean of its divisors is an integer number (5369400).

Almost surely, 2^105963646 is an apocalyptic number.

105963646 is a deficient number, since it is larger than the sum of its proper divisors (65857154).

105963646 is a wasteful number, since it uses less digits than its factorization.

105963646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544.

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 105963646 is about 10293.8644832735. The cubic root of 105963646 is about 473.2082392211.

The spelling of 105963646 in words is "one hundred five million, nine hundred sixty-three thousand, six hundred forty-six".