106453120 has 64 divisors (see below), whose sum is σ = 259977600. Its totient is φ = 41663488.

The previous prime is 106453093. The next prime is 106453129. The reversal of 106453120 is 21354601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×106453120³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106453091 and 106453100.

It is not an unprimeable number, because it can be changed into a prime (106453129) 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, 28311 + ... + 31849.

It is an arithmetic number, because the mean of its divisors is an integer number (4062150).

Almost surely, 2^106453120 is an apocalyptic number.

106453120 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 106453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129988800).

106453120 is an abundant number, since it is smaller than the sum of its proper divisors (153524480).

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

106453120 is an equidigital number, since it uses as much as digits as its factorization.

106453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 106453120 is about 10317.6121268441. The cubic root of 106453120 is about 473.9357447008.

The spelling of 106453120 in words is "one hundred six million, four hundred fifty-three thousand, one hundred twenty".