105468160 has 144 divisors (see below), whose sum is σ = 294336000. Its totient is φ = 35463168.

The previous prime is 105468109. The next prime is 105468161. The reversal of 105468160 is 61864501.

It is a super-2 number, since 2×105468160² = 22247065547571200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105468161) 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, 707766 + ... + 707914.

It is an arithmetic number, because the mean of its divisors is an integer number (2044000).

Almost surely, 2^105468160 is an apocalyptic number.

105468160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147168000).

105468160 is an abundant number, since it is smaller than the sum of its proper divisors (188867840).

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

105468160 is an equidigital number, since it uses as much as digits as its factorization.

105468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 105468160 is about 10269.7692281765. The cubic root of 105468160 is about 472.4695126975.

The spelling of 105468160 in words is "one hundred five million, four hundred sixty-eight thousand, one hundred sixty".