106332096 has 168 divisors, whose sum is σ = 317936880. Its totient is φ = 31309824.

The previous prime is 106332091. The next prime is 106332097. The reversal of 106332096 is 690233601.

It is a happy number.

It is a super-2 number, since 2×106332096² = 22613029279506432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106332091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940936 + ... + 941048.

Almost surely, 2^106332096 is an apocalyptic number.

106332096 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 106332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158968440).

106332096 is an abundant number, since it is smaller than the sum of its proper divisors (211604784).

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

106332096 is a wasteful number, since it uses less digits than its factorization.

106332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 106332096 is about 10311.7455360380. The cubic root of 106332096 is about 473.7560745340.

Adding to 106332096 its reverse (690233601), we get a palindrome (796565697).

The spelling of 106332096 in words is "one hundred six million, three hundred thirty-two thousand, ninety-six".