106885120 has 104 divisors (see below), whose sum is σ = 272465424. Its totient is φ = 40108032.

The previous prime is 106885111. The next prime is 106885123. The reversal of 106885120 is 21588601.

It is a super-2 number, since 2×106885120² = 22848857754828800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106885123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 348007 + ... + 348313.

Almost surely, 2^106885120 is an apocalyptic number.

106885120 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 106885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136232712).

106885120 is an abundant number, since it is smaller than the sum of its proper divisors (165580304).

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

106885120 is an equidigital number, since it uses as much as digits as its factorization.

106885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 106885120 is about 10338.5260071250. The cubic root of 106885120 is about 474.5759761649.

The spelling of 106885120 in words is "one hundred six million, eight hundred eighty-five thousand, one hundred twenty".