105660160 has 144 divisors (see below), whose sum is σ = 274026816. Its totient is φ = 38928384.

The previous prime is 105660133. The next prime is 105660173. The reversal of 105660160 is 61066501.

It is a super-2 number, since 2×105660160² = 22328138822451200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1089232 + ... + 1089328.

It is an arithmetic number, because the mean of its divisors is an integer number (1902964).

Almost surely, 2^105660160 is an apocalyptic number.

105660160 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 105660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137013408).

105660160 is an abundant number, since it is smaller than the sum of its proper divisors (168366656).

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

105660160 is an equidigital number, since it uses as much as digits as its factorization.

105660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 105660160 is about 10279.1128021829. The cubic root of 105660160 is about 472.7560420002.

It can be divided in two parts, 1056 and 60160, that added together give a palindrome (61216).

The spelling of 105660160 in words is "one hundred five million, six hundred sixty thousand, one hundred sixty".