106485120 has 384 divisors, whose sum is σ = 445536000. Its totient is φ = 22892544.

The previous prime is 106485097. The next prime is 106485163. The reversal of 106485120 is 21584601.

106485120 is a `hidden beast` number, since 1 + 0 + 648 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106485120² = 22678161562828800, which contains 22 as substring.

It is a congruent number.

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, 766011 + ... + 766149.

It is an arithmetic number, because the mean of its divisors is an integer number (1160250).

Almost surely, 2^106485120 is an apocalyptic number.

106485120 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 106485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222768000).

106485120 is an abundant number, since it is smaller than the sum of its proper divisors (339050880).

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

106485120 is a wasteful number, since it uses less digits than its factorization.

106485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

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

The square root of 106485120 is about 10319.1627567356. The cubic root of 106485120 is about 473.9832285899.

The spelling of 106485120 in words is "one hundred six million, four hundred eighty-five thousand, one hundred twenty".