106530816 has 96 divisors (see below), whose sum is σ = 324717120. Its totient is φ = 30425088.

The previous prime is 106530799. The next prime is 106530829. The reversal of 106530816 is 618035601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106530816² = 22697629515251712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41770 + ... + 44246.

It is an arithmetic number, because the mean of its divisors is an integer number (3382470).

Almost surely, 2^106530816 is an apocalyptic number.

106530816 is a gapful number since it is divisible by the number (16) 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 106530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162358560).

106530816 is an abundant number, since it is smaller than the sum of its proper divisors (218186304).

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

106530816 is an equidigital number, since it uses as much as digits as its factorization.

106530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 106530816 is about 10321.3766523657. The cubic root of 106530816 is about 474.0510190949.

The spelling of 106530816 in words is "one hundred six million, five hundred thirty thousand, eight hundred sixteen".