105000168 has 128 divisors (see below), whose sum is σ = 326430720. Its totient is φ = 27406080.

The previous prime is 105000167. The next prime is 105000169. The reversal of 105000168 is 861000501.

It is an interprime number because it is at equal distance from previous prime (105000167) and next prime (105000169).

It is a super-2 number, since 2×105000168² = 22050070560056448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (105000163) 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 31 ways as a sum of consecutive naturals, for example, 285921 + ... + 286287.

It is an arithmetic number, because the mean of its divisors is an integer number (2550240).

Almost surely, 2^105000168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105000168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163215360).

105000168 is an abundant number, since it is smaller than the sum of its proper divisors (221430552).

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

105000168 is a wasteful number, since it uses less digits than its factorization.

105000168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 105000168 is about 10246.9589635169. The cubic root of 105000168 is about 471.7696496419.

Adding to 105000168 its reverse (861000501), we get a palindrome (966000669).

It can be divided in two parts, 105000 and 168, that multiplied together give a square (17640000 = 4200²).

The spelling of 105000168 in words is "one hundred five million, one hundred sixty-eight", and thus it is an aban number.