105918120 has 192 divisors, whose sum is σ = 429287040. Its totient is φ = 22003200.

The previous prime is 105918107. The next prime is 105918187. The reversal of 105918120 is 21819501.

It is a super-2 number, since 2×105918120² = 22437296288668800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 25810 + ... + 29630.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^105918120 is an apocalyptic number.

105918120 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 105918120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

105918120 is an abundant number, since it is smaller than the sum of its proper divisors (323368920).

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

105918120 is a wasteful number, since it uses less digits than its factorization.

105918120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 105918120 is about 10291.6529284659. The cubic root of 105918120 is about 473.1404601128.

The spelling of 105918120 in words is "one hundred five million, nine hundred eighteen thousand, one hundred twenty".