105218160 has 40 divisors (see below), whose sum is σ = 326177040. Its totient is φ = 28058112.

The previous prime is 105218153. The next prime is 105218161. The reversal of 105218160 is 61812501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105218160² = 22141722387571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105218160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105218161) 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, 218965 + ... + 219444.

It is an arithmetic number, because the mean of its divisors is an integer number (8154426).

Almost surely, 2^105218160 is an apocalyptic number.

105218160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105218160 is an abundant number, since it is smaller than the sum of its proper divisors (220958880).

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

105218160 is a wasteful number, since it uses less digits than its factorization.

105218160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438425 (or 438419 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 105218160 is about 10257.5903603137. The cubic root of 105218160 is about 472.0959060118.

It can be divided in two parts, 10521 and 8160, that added together give a palindrome (18681).

The spelling of 105218160 in words is "one hundred five million, two hundred eighteen thousand, one hundred sixty".