106009120 has 48 divisors (see below), whose sum is σ = 286227648. Its totient is φ = 36345600.

The previous prime is 106009109. The next prime is 106009121. The reversal of 106009120 is 21900601.

It is a super-2 number, since 2×106009120² = 22475867046348800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106009121) 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, 46206 + ... + 48445.

It is an arithmetic number, because the mean of its divisors is an integer number (5963076).

Almost surely, 2^106009120 is an apocalyptic number.

106009120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106009120 is an abundant number, since it is smaller than the sum of its proper divisors (180218528).

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

106009120 is an equidigital number, since it uses as much as digits as its factorization.

106009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94673 (or 94665 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 106009120 is about 10296.0730378140. The cubic root of 106009120 is about 473.2759215341.

Adding to 106009120 its reverse (21900601), we get a palindrome (127909721).

The spelling of 106009120 in words is "one hundred six million, nine thousand, one hundred twenty".