106896 has 40 divisors (see below), whose sum is σ = 294624. Its totient is φ = 33280.

The previous prime is 106877. The next prime is 106903. The reversal of 106896 is 698601.

It is a super-2 number, since 2×106896² = 22853509632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

106896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751 + ... + 881.

2¹⁰⁶⁸⁹⁶ is an apocalyptic number.

106896 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 106896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312).

106896 is an abundant number, since it is smaller than the sum of its proper divisors (187728).

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

106896 is a wasteful number, since it uses less digits than its factorization.

106896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 106896 is about 326.9495373907. The cubic root of 106896 is about 47.4592078224.

The spelling of 106896 in words is "one hundred six thousand, eight hundred ninety-six".