106108320 has 48 divisors (see below), whose sum is σ = 334242720. Its totient is φ = 28295424.

The previous prime is 106108307. The next prime is 106108333. The reversal of 106108320 is 23801601.

It is an interprime number because it is at equal distance from previous prime (106108307) and next prime (106108333).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106108320² = 22517951146444800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110050 + ... + 111009.

It is an arithmetic number, because the mean of its divisors is an integer number (6963390).

Almost surely, 2^106108320 is an apocalyptic number.

106108320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106108320 is an abundant number, since it is smaller than the sum of its proper divisors (228134400).

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

106108320 is a wasteful number, since it uses less digits than its factorization.

106108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221077 (or 221069 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106108320 is about 10300.8892819989. The cubic root of 106108320 is about 473.4235010837.

Adding to 106108320 its reverse (23801601), we get a palindrome (129909921).

The spelling of 106108320 in words is "one hundred six million, one hundred eight thousand, three hundred twenty".