105166633 has 8 divisors (see below), whose sum is σ = 123552576. Its totient is φ = 88251600.

The previous prime is 105166619. The next prime is 105166637. The reversal of 105166633 is 336661501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105166633 is a prime.

It is a super-2 number, since 2×105166633² = 22120041393113378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105166595 and 105166604.

It is not an unprimeable number, because it can be changed into a prime (105166637) 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, 367573 + ... + 367858.

It is an arithmetic number, because the mean of its divisors is an integer number (15444072).

Almost surely, 2^105166633 is an apocalyptic number.

105166633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105166633 is a deficient number, since it is larger than the sum of its proper divisors (18385943).

105166633 is a wasteful number, since it uses less digits than its factorization.

105166633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735455.

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 105166633 is about 10255.0784004804. The cubic root of 105166633 is about 472.0188291469.

The spelling of 105166633 in words is "one hundred five million, one hundred sixty-six thousand, six hundred thirty-three".