105486120 has 96 divisors (see below), whose sum is σ = 347742720. Its totient is φ = 27726720.

The previous prime is 105486113. The next prime is 105486131. The reversal of 105486120 is 21684501.

105486120 is a `hidden beast` number, since 1 + 0 + 5 + 48 + 612 + 0 = 666.

It is a super-3 number, since 3×105486120³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 23497 + ... + 27623.

It is an arithmetic number, because the mean of its divisors is an integer number (3622320).

Almost surely, 2^105486120 is an apocalyptic number.

105486120 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 105486120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173871360).

105486120 is an abundant number, since it is smaller than the sum of its proper divisors (242256600).

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

105486120 is a wasteful number, since it uses less digits than its factorization.

105486120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 105486120 is about 10270.6436020339. The cubic root of 105486120 is about 472.4963298615.

The spelling of 105486120 in words is "one hundred five million, four hundred eighty-six thousand, one hundred twenty".