106808832 has 120 divisors (see below), whose sum is σ = 332155824. Its totient is φ = 32845824.

The previous prime is 106808809. The next prime is 106808839. The reversal of 106808832 is 238808601.

It is a super-2 number, since 2×106808832² = 22816253186408448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106808839) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 59013 + ... + 60795.

Almost surely, 2^106808832 is an apocalyptic number.

106808832 is a gapful number since it is divisible by the number (12) 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 106808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166077912).

106808832 is an abundant number, since it is smaller than the sum of its proper divisors (225346992).

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

106808832 is a wasteful number, since it uses less digits than its factorization.

106808832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 106808832 is about 10334.8358477530. The cubic root of 106808832 is about 474.4630416143.

The spelling of 106808832 in words is "one hundred six million, eight hundred eight thousand, eight hundred thirty-two".