105168983 has 8 divisors (see below), whose sum is σ = 106792656. Its totient is φ = 103550400.

The previous prime is 105168979. The next prime is 105168989. The reversal of 105168983 is 389861501.

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

It is a cyclic number.

It is not a de Polignac number, because 105168983 - 2² = 105168979 is a prime.

It is a super-2 number, since 2×105168983² = 22121029970508578, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105168983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105168989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67928 + ... + 69458.

It is an arithmetic number, because the mean of its divisors is an integer number (13349082).

Almost surely, 2^105168983 is an apocalyptic number.

105168983 is a deficient number, since it is larger than the sum of its proper divisors (1623673).

105168983 is an equidigital number, since it uses as much as digits as its factorization.

105168983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545.

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 105168983 is about 10255.1929772189. The cubic root of 105168983 is about 472.0223449514.

The spelling of 105168983 in words is "one hundred five million, one hundred sixty-eight thousand, nine hundred eighty-three".