105345360 has 120 divisors (see below), whose sum is σ = 366955680. Its totient is φ = 28086912.

The previous prime is 105345349. The next prime is 105345389. The reversal of 105345360 is 63543501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105345360² = 22195289747059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16731 + ... + 22149.

It is an arithmetic number, because the mean of its divisors is an integer number (3057964).

Almost surely, 2^105345360 is an apocalyptic number.

105345360 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 105345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183477840).

105345360 is an abundant number, since it is smaller than the sum of its proper divisors (261610320).

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

105345360 is an equidigital number, since it uses as much as digits as its factorization.

105345360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 105345360 is about 10263.7887741321. The cubic root of 105345360 is about 472.2860709566.

Adding to 105345360 its reverse (63543501), we get a palindrome (168888861).

The spelling of 105345360 in words is "one hundred five million, three hundred forty-five thousand, three hundred sixty".