106208320 has 56 divisors (see below), whose sum is σ = 257101848. Its totient is φ = 41779200.

The previous prime is 106208317. The next prime is 106208321. The reversal of 106208320 is 23802601.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 104203264 = 1416^2 + 10208^2 .

It is a super-2 number, since 2×106208320² = 22560414474444800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106208291 and 106208300.

It is not an unprimeable number, because it can be changed into a prime (106208321) 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, 16800 + ... + 22240.

Almost surely, 2^106208320 is an apocalyptic number.

106208320 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 106208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128550924).

106208320 is an abundant number, since it is smaller than the sum of its proper divisors (150893528).

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

106208320 is an equidigital number, since it uses as much as digits as its factorization.

106208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5519 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 106208320 is about 10305.7420887581. The cubic root of 106208320 is about 473.5721777240.

The spelling of 106208320 in words is "one hundred six million, two hundred eight thousand, three hundred twenty".