105816633 has 16 divisors (see below), whose sum is σ = 156050496. Its totient is φ = 63357120.

The previous prime is 105816631. The next prime is 105816701. The reversal of 105816633 is 336618501.

It is not a de Polignac number, because 105816633 - 2¹ = 105816631 is a prime.

It is a super-2 number, since 2×105816633² = 22394319638913378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105816594 and 105816603.

It is not an unprimeable number, because it can be changed into a prime (105816631) 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, 35223 + ... + 38108.

It is an arithmetic number, because the mean of its divisors is an integer number (9753156).

Almost surely, 2^105816633 is an apocalyptic number.

105816633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105816633 is a deficient number, since it is larger than the sum of its proper divisors (50233863).

105816633 is a wasteful number, since it uses less digits than its factorization.

105816633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73384.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 105816633 is about 10286.7211977384. The cubic root of 105816633 is about 472.9892963324.

The spelling of 105816633 in words is "one hundred five million, eight hundred sixteen thousand, six hundred thirty-three".