105218560 has 80 divisors (see below), whose sum is σ = 263393856. Its totient is φ = 40235008.

The previous prime is 105218513. The next prime is 105218563. The reversal of 105218560 is 65812501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105218560² = 22141890736947200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105218563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57987 + ... + 59773.

Almost surely, 2^105218560 is an apocalyptic number.

105218560 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 105218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131696928).

105218560 is an abundant number, since it is smaller than the sum of its proper divisors (158175296).

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

105218560 is an equidigital number, since it uses as much as digits as its factorization.

105218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 105218560 is about 10257.6098580517. The cubic root of 105218560 is about 472.0965042549.

The spelling of 105218560 in words is "one hundred five million, two hundred eighteen thousand, five hundred sixty".