105867168 has 96 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 30965760.

The previous prime is 105867163. The next prime is 105867173. The reversal of 105867168 is 861768501.

It is an interprime number because it is at equal distance from previous prime (105867163) and next prime (105867173).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105867168² = 22415714520680448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105867163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28896 + ... + 32352.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^105867168 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 105867168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

105867168 is an abundant number, since it is smaller than the sum of its proper divisors (207842592).

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

105867168 is a wasteful number, since it uses less digits than its factorization.

105867168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 105867168 is about 10289.1772265813. The cubic root of 105867168 is about 473.0645797397.

The spelling of 105867168 in words is "one hundred five million, eight hundred sixty-seven thousand, one hundred sixty-eight".