105351168 has 96 divisors (see below), whose sum is σ = 302702400. Its totient is φ = 32391168.

The previous prime is 105351163. The next prime is 105351179. The reversal of 105351168 is 861153501.

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

It is a super-2 number, since 2×105351168² = 22197737197928448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105351163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79213 + ... + 80531.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 2^105351168 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 105351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151351200).

105351168 is an abundant number, since it is smaller than the sum of its proper divisors (197351232).

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

105351168 is a wasteful number, since it uses less digits than its factorization.

105351168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 105351168 is about 10264.0717066864. The cubic root of 105351168 is about 472.2947503045.

The spelling of 105351168 in words is "one hundred five million, three hundred fifty-one thousand, one hundred sixty-eight".