105963036 has 24 divisors (see below), whose sum is σ = 249029760. Its totient is φ = 35066352.

The previous prime is 105963007. The next prime is 105963037. The reversal of 105963036 is 630369501.

It is a super-2 number, since 2×105963036² = 22456329996674592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105962988 and 105963006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105963037) 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, 30096 + ... + 33431.

It is an arithmetic number, because the mean of its divisors is an integer number (10376240).

Almost surely, 2^105963036 is an apocalyptic number.

It is an amenable number.

105963036 is an abundant number, since it is smaller than the sum of its proper divisors (143066724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105963036 is a wasteful number, since it uses less digits than its factorization.

105963036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63673 (or 63671 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 105963036 is about 10293.8348539308. The cubic root of 105963036 is about 473.2073311814.

The spelling of 105963036 in words is "one hundred five million, nine hundred sixty-three thousand, thirty-six".