106549120 has 64 divisors (see below), whose sum is σ = 256183200. Its totient is φ = 42375168.

The previous prime is 106549111. The next prime is 106549123. The reversal of 106549120 is 21945601.

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

It is a super-2 number, since 2×106549120² = 22705429945548800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106549123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146197 + ... + 146923.

Almost surely, 2^106549120 is an apocalyptic number.

106549120 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 106549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128091600).

106549120 is an abundant number, since it is smaller than the sum of its proper divisors (149634080).

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

106549120 is an equidigital number, since it uses as much as digits as its factorization.

106549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 106549120 is about 10322.2633177031. The cubic root of 106549120 is about 474.0781678369.

The spelling of 106549120 in words is "one hundred six million, five hundred forty-nine thousand, one hundred twenty".